The Polish Mathematical Society Was and Its Statute Changed)
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Samuel Eilenberg Assistant Professorships
Faculty of Mathematics, Informatics and Mechanics Dean, Professor Paweł Strzelecki Samuel Eilenberg Assistant Professorships Four academic positions in the group of researchers and lecturers are vailable at the Faculty of Mathematics, Informatics and Mechanics Pursuant to the Law on Higher Education and Science, the Univeristy of Warsaw invites the applications for four positions of Samuel Eilenberg Assistant Professorships. Samuel Eilenberg (1913-1998) obtained his PhD degree in Mathematics at the University of Warsaw in 1936 under the supervision of Kazimierz Kuratowski and Karol Borsuk. He spent most of his career in the USA as a professor at Columbia Univeristy. He exerted a critical influence on contemporary mathematics and theoretical computer science; he was a co- founder of modern topology, category theory, homological algebra, and automata theory. His scientific development epitomizes openness to new ideas and readiness to face demanding intellectual challenges. Terms of employment: starting date October 1, 2020; full time job, competitive salary, fixed term employment contract for 2 or 4 years (to be decided with successful applicants). The candidates will concentrate on intensive research and will have reduced teaching duties (120 teaching hours per academic year). Requirements. Successful candidates for Samuel Eilenberg Professorships should have: 1. a PhD degree in mathematics, computer science or related fields obtained in the past 5 years; 2. significant papers in mathematics or computer science, published in refereed, globally recognized journals or confer- ences; 3. teaching experience and willingness to undertake organizational activities related to teaching; 4. significant international experience (internships or post-doctoral fellowships, projects etc.). Candidates obtain extra points for: • research fellowships outside Poland within the last two years; • high pace of scientific development that is confirmed by high quality papers; a clear concept of maintaining this development is required. -
L. Maligranda REVIEW of the BOOK by MARIUSZ URBANEK
Математичнi Студiї. Т.50, №1 Matematychni Studii. V.50, No.1 УДК 51 L. Maligranda REVIEW OF THE BOOK BY MARIUSZ URBANEK, “GENIALNI – LWOWSKA SZKOL A MATEMATYCZNA” (POLISH) [GENIUSES – THE LVOV SCHOOL OF MATHEMATICS] L. Maligranda. Review of the book by Mariusz Urbanek, “Genialni – Lwowska Szko la Matema- tyczna” (Polish) [Geniuses – the Lvov school of mathematics], Wydawnictwo Iskry, Warsaw 2014, 283 pp. ISBN: 978-83-244-0381-3 , Mat. Stud. 50 (2018), 105–112. This review is an extended version of my short review of Urbanek's book that was published in MathSciNet. Here it is written about his book in greater detail, which was not possible in the short review. I will present facts described in the book as well as some false information there. My short review of Urbanek’s book was published in MathSciNet [24]. Here I write about his book in greater detail. Mariusz Urbanek, writer and journalist, author of many books devoted to poets, politicians and other figures of public life, decided to delve also in the world of mathematicians. He has written a book on the phenomenon in the history of Polish science called the Lvov School of Mathematics. Let us add that at the same time there were also the Warsaw School of Mathematics and the Krakow School of Mathematics, and the three formed together the Polish School of Mathematics. The Lvov School of Mathematics was a group of mathematicians in the Polish city of Lvov (Lw´ow,in Polish; now the city is in Ukraine) in the period 1920–1945 under the leadership of Stefan Banach and Hugo Steinhaus, who worked together and often came to the Scottish Caf´e (Kawiarnia Szkocka) to discuss mathematical problems. -
NOTE the Theorem on Planar Graphs
HISTORIA MATHEMATICA 12(19X5). 356-368 NOTE The Theorem on Planar Graphs JOHN W. KENNEDY AND LOUIS V. QUINTAS Mathematics Department, Pace University, Pace Plaza, New York, New York, 10038 AND MACEJ M. SYSKO Institute of Computer Science, University of Wroc+aw, ul. Prz,esyckiego 20, 511.51 Wroclow, Poland In the late 1920s several mathematicians were on the verge of discovering a theorem for characterizing planar graphs. The proof of such a theorem was published in 1930 by Kazi- mierz Kuratowski, and soon thereafter the theorem was referred to as the Kuratowski Theorem. It has since become the most frequently cited result in graph theory. Recently, the name of Pontryagin has been coupled with that of Kuratowski when identifying this result. The events related to this development are examined with the object of determining to whom and in what proportion the credit should be given for the discovery of this theorem. 0 1985 AcademicPress. Inc Pendant les 1920s avancts quelques mathkmaticiens &aient B la veille de dCcouvrir un theor&me pour caracttriser les graphes planaires. La preuve d’un tel th6or&me a et6 publiCe en 1930 par Kazimierz Kuratowski, et t6t apres cela, on a appele ce thCor&me le ThCortime de Kuratowski. Depuis ce temps, c’est le rtsultat le plus citC de la thCorie des graphes. Rtcemment le nom de Pontryagin a &e coup16 avec celui de Kuratowski en parlant de ce r&&at. Nous examinons les CvCnements relatifs g ce dCveloppement pour determiner 2 qui et dans quelle proportion on devrait attribuer le mtrite de la dCcouverte de ce th6oreme. -
COMPLEXITY of CURVES 1. Introduction in This Note We Study
COMPLEXITY OF CURVES UDAYAN B. DARJI AND ALBERTO MARCONE Abstract. We show that each of the classes of hereditarily locally connected, 1 ¯nitely Suslinian, and Suslinian continua is ¦1-complete, while the class of 0 regular continua is ¦4-complete. 1. Introduction In this note we study some natural classes of continua from the viewpoint of descriptive set theory: motivations, style and spirit are the same of papers such as [Dar00], [CDM02], and [Kru03]. Pol and Pol use similar techniques to study problems in continuum theory in [PP00]. By a continuum we always mean a compact and connected metric space. A subcontinuum of a continuum X is a subset of X which is also a continuum. A continuum is nondegenerate if it contains more than one point. A curve is a one- dimensional continuum. Let us start with the de¯nitions of some classes of continua: all these can be found in [Nad92], which is our main reference for continuum theory. De¯nition 1.1. A continuum X is hereditarily locally connected if every subcon- tinuum of X is locally connected, i.e. a Peano continuum. A continuum X is hereditarily decomposable if every nondegenerate subcontin- uum of X is decomposable, i.e. is the union of two proper subcontinua. A continuum X is regular if every point of X has a neighborhood basis consisting of sets with ¯nite boundary. A continuum X is rational if every point of X has a neighborhood basis consisting of sets with countable boundary. The following classes of continua were de¯ned by Lelek in [Lel71]. -
Adolf Lindenbaum: Notes on His Life, with Bibliography and Selected References
CORE Metadata, citation and similar papers at core.ac.uk Provided by Springer - Publisher Connector Log. Univers. 8 (2014), 285–320 c 2014 The Author(s). This article is published with open access at Springerlink.com 1661-8297/14/030285-36, published online December 3, 2014 DOI 10.1007/s11787-014-0108-2 Logica Universalis Adolf Lindenbaum: Notes on his Life, with Bibliography and Selected References Jan Zygmunt and Robert Purdy Abstract. Notes on the life of Adolf Lindenbaum, a complete bibliography of his published works, and selected references to his unpublished results. Mathematics Subject Classification. 01A60, 01A70, 01A73, 03-03. Keywords. Adolf Lindenbaum, biography, bibliography, unpublished works. This paper is dedicated to Adolf Lindenbaum (1904–1941)—Polish- Jewish mathematician and logician; a member of the Warsaw school of mathe- matics under Waclaw Sierpi´nski and Stefan Mazurkiewicz and school of math- ematical logic under JanLukasiewicz and Stanislaw Le´sniewski;1 and Alfred Tarski’s closest collaborator of the inter-war period. Our paper is divided into three main parts. The first part is biograph- ical and narrative in character. It gathers together what little is known of Lindenbaum’s short life. The second part is a bibliography of Lindenbaum’s published output, including his public lectures. Our aim there is to be complete and definitive. The third part is a list of selected references in the literature attesting to his unpublished results2 and delineating their extent. Just to confuse things, we name the second and third parts of our paper, respectively, “Bibliography Part One” and “Bibliography Part Two”. Why, we no longer remember. -
L. Maligranda REVIEW of the BOOK by ROMAN
Математичнi Студiї. Т.46, №2 Matematychni Studii. V.46, No.2 УДК 51 L. Maligranda REVIEW OF THE BOOK BY ROMAN DUDA, “PEARLS FROM A LOST CITY. THE LVOV SCHOOL OF MATHEMATICS” L. Maligranda. Review of the book by Roman Duda, “Pearls from a lost city. The Lvov school of mathematics”, Mat. Stud. 46 (2016), 203–216. This review is an extended version of my two short reviews of Duda's book that were published in MathSciNet and Mathematical Intelligencer. Here it is written about the Lvov School of Mathematics in greater detail, which I could not do in the short reviews. There are facts described in the book as well as some information the books lacks as, for instance, the information about the planned print in Mathematical Monographs of the second volume of Banach's book and also books by Mazur, Schauder and Tarski. My two short reviews of Duda’s book were published in MathSciNet [16] and Mathematical Intelligencer [17]. Here I write about the Lvov School of Mathematics in greater detail, which was not possible in the short reviews. I will present the facts described in the book as well as some information the books lacks as, for instance, the information about the planned print in Mathematical Monographs of the second volume of Banach’s book and also books by Mazur, Schauder and Tarski. So let us start with a discussion about Duda’s book. In 1795 Poland was partioned among Austria, Russia and Prussia (Germany was not yet unified) and at the end of 1918 Poland became an independent country. -
L. Maligranda REVIEW of the BOOK BY
Математичнi Студiї. Т.50, №1 Matematychni Studii. V.50, No.1 УДК 51 L. Maligranda REVIEW OF THE BOOK BY MARIUSZ URBANEK, “GENIALNI – LWOWSKA SZKOL A MATEMATYCZNA” (POLISH) [GENIUSES – THE LVOV SCHOOL OF MATHEMATICS] L. Maligranda. Review of the book by Mariusz Urbanek, “Genialni – Lwowska Szko la Matema- tyczna” (Polish) [Geniuses – the Lvov school of mathematics], Wydawnictwo Iskry, Warsaw 2014, 283 pp. ISBN: 978-83-244-0381-3 , Mat. Stud. 50 (2018), 105–112. This review is an extended version of my short review of Urbanek's book that was published in MathSciNet. Here it is written about his book in greater detail, which was not possible in the short review. I will present facts described in the book as well as some false information there. My short review of Urbanek’s book was published in MathSciNet [24]. Here I write about his book in greater detail. Mariusz Urbanek, writer and journalist, author of many books devoted to poets, politicians and other figures of public life, decided to delve also in the world of mathematicians. He has written a book on the phenomenon in the history of Polish science called the Lvov School of Mathematics. Let us add that at the same time there were also the Warsaw School of Mathematics and the Krakow School of Mathematics, and the three formed together the Polish School of Mathematics. The Lvov School of Mathematics was a group of mathematicians in the Polish city of Lvov (Lw´ow,in Polish; now the city is in Ukraine) in the period 1920–1945 under the leadership of Stefan Banach and Hugo Steinhaus, who worked together and often came to the Scottish Caf´e (Kawiarnia Szkocka) to discuss mathematical problems. -
Leaders of Polish Mathematics Between the Two World Wars
COMMENTATIONES MATHEMATICAE Vol. 53, No. 2 (2013), 5-12 Roman Duda Leaders of Polish mathematics between the two world wars To Julian Musielak, one of the leaders of post-war Poznań mathematics Abstract. In the period 1918-1939 mathematics in Poland was led by a few people aiming at clearly defined but somewhat different goals. They were: S. Zaremba in Cracow, W. Sierpiński and S. Mazurkiewicz in Warsaw, and H. Steinhaus and S. Banach in Lvov. All were chairmen and editors of mathematical journals, and each promoted several students to continue their efforts. They were highly successful both locally and internationally. When Poland regained its independence in 1918, Polish mathematics exploded like a supernova: against a dark background there flared up, in the next two deca- des, the Polish Mathematical School. Although the School has not embraced all mathematics in the country, it soon attracted common attention for the whole. Ho- wever, after two decades of a vivid development the School ended suddenly also like a supernova and together with it there silenced, for the time being, the rest of Polish mathematics. The end came in 1939 when the state collapsed under German and Soviet blows from the West and from the East, and the two occupants cooperated to cut short Polish independent life. After 1945 the state and mathematics came to life again but it was a different state and a different mathematics. The aim of this paper is to recall great leaders of the short-lived interwar Polish mathematics. By a leader we mean here a man enjoying an international reputation (author of influential papers or monographs) and possessing a high position in the country (chairman of a department of mathematics in one of the universities), a man who had a number of students and promoted several of them to Ph.D. -
The Emergence of “Two Warsaws”: Transformation of the University In
The emergence of “two Warsaws”: Transformation of the University in Warsaw and the analysis of the role of young, talented and spirited mathematicians in this process Stanisław Domoradzki (University of Rzeszów, Poland), Margaret Stawiska (USA) In 1915, when the front of the First World War was moving eastwards, Warsaw, which had been governed by Russians for over a century, found itself under a German rule. In the summer of 1915 the Russians evacuated the Imperial University to Rostov-on-Don and in the fall of 1915 general Hans von Beseler opened a Polish-language University of Warsaw and gave it a statute. Many Poles from other occupied territories as well as those studying abroad arrived then to Warsaw, among others Kazimierz Kuratowski (1896–1980), from Glasgow. At the beginning Stefan Mazurkiewicz (1888–1945) played the leading role in the university mathematics, joined in 1918 by Zygmunt Janiszewski (1888–1920) after complet- ing service in the Legions. The career of both scholars was related to scholarly activities of Wacław Sierpi ński (1882–1969) in Lwów. Janiszewski worked there since 1912, nostrified a doctorate from Sorbonne and got veniam legendi (1913), Mazurkiewicz obtained a doctorate (1913). During the war Sierpi ński was interned in Russia as an Austro-Hungarian subject. In 1918 he was nominated for a chair in mathematics at the University of Warsaw. The commu- nity congregating around these mathematicians managed to create somewhat later a solid mathematical school focused on set theory and its applications. It corresponded to a vision of a mathematical school presented by Janiszewski. Warsaw had an efficiently functioning mathematical community for several decades. -
Kazimierz Kuratowski (Warsaw)
Kazimierz Kuratowski (Warsaw) THE PAST AND THE PRESENT OF THE POLISH SCHOOL OF MATHEMATICS I am concentrating in this article on two main subjects. Firstly: I am trying to answer the question what brought about such an “explosion” of mathematics in a country in whose scientific tradition there was hardly any mathematics and which happened at the time when after an over-one-century-long foreign rule the nation was trying hard to reconstruct its now independent country, ravaged by the First World War. Secondly: was this explosion a short-lived enthusiasm or, on the contrary, the Polish school of .mathematics struck roots so deeply that it was sub sequently able to survive the cataclysm of the Second World War and rebuild in the new circumastances — in People’s Poland — the internationally re cognized edifice of Polish mathematics? There will be in this article no mathematical theorems, no definitions or geometrical constructions. I shall be trying to use the language which can be understood without mathematical qualifications. It is therefore my hope that this text will be intelligible not only to mathematicians.1 1. PRECURSORS OF THE POLISH SCHOOL OF MATHEMATICS It was the years 1918—1920 when the Polish School of Mathematics was emerging. Before describing this period and the subsequent years one should, I think, review, be it only summarily, the contemporary state of Polish mathematics. I am going to mention those of its representatives the majority of whom had in fact been active in the 19th century but who also worked in the 20th century and so could influence the formation of the School of Mathematics being thus its precursors as it were. -
Contribution of Warsaw Logicians to Computational Logic
axioms Article Contribution of Warsaw Logicians to Computational Logic Damian Niwi ´nski Institute of Informatics, University of Warsaw, 02-097 Warsaw, Poland; [email protected]; Tel.: +48-22-554-4460 Academic Editor: Urszula Wybraniec-Skardowska Received: 22 April 2016; Accepted: 31 May 2016; Published: 3 June 2016 Abstract: The newly emerging branch of research of Computer Science received encouragement from the successors of the Warsaw mathematical school: Kuratowski, Mazur, Mostowski, Grzegorczyk, and Rasiowa. Rasiowa realized very early that the spectrum of computer programs should be incorporated into the realm of mathematical logic in order to make a rigorous treatment of program correctness. This gave rise to the concept of algorithmic logic developed since the 1970s by Rasiowa, Salwicki, Mirkowska, and their followers. Together with Pratt’s dynamic logic, algorithmic logic evolved into a mainstream branch of research: logic of programs. In the late 1980s, Warsaw logicians Tiuryn and Urzyczyn categorized various logics of programs, depending on the class of programs involved. Quite unexpectedly, they discovered that some persistent open questions about the expressive power of logics are equivalent to famous open problems in complexity theory. This, along with parallel discoveries by Harel, Immerman and Vardi, contributed to the creation of an important area of theoretical computer science: descriptive complexity. By that time, the modal m-calculus was recognized as a sort of a universal logic of programs. The mid 1990s saw a landmark result by Walukiewicz, who showed completeness of a natural axiomatization for the m-calculus proposed by Kozen. The difficult proof of this result, based on automata theory, opened a path to further investigations. -
Notices of the American Mathematical Society
OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 16, NUMBER 3 ISSUE NO. 113 APRIL, 1969 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings ..................................... 454 Program for the April Meeting in New York ..................... 455 Abstracts for the Meeting - Pages 500-531 Program for the April Meeting in Cincinnati, Ohio ................. 466 Abstracts for the Meeting -Pages 532-550 Program for the April Meeting in Santa Cruz . ......... 4 73 Abstracts for the Meeting- Pages 551-559 PRELIMINARY ANNOUNCEMENT OF MEETING ....................•.. 477 NATIONAL REGISTER REPORT .............. .. 478 SPECIAL REPORT ON THE BUSINESS MEETING AT THE ANNUAL MEETING IN NEW ORLEANS ............•................... 480 INTERNATIONAL CONGRESS OF MATHEMATICIANS ................... 482 LETTERS TO THE EDITOR ..................................... 483 APRIL MEETING IN THE WEST: Some Reactions of the Membership to the Change in Location ....................................... 485 PERSONAL ITEMS ........................................... 488 MEMORANDA TO MEMBERS Memoirs ............................................. 489 Seminar of Mathematical Problems in the Geographical Sciences ....... 489 ACTIVITIES OF OTHER ASSOCIATIONS . 490 SUMMER INSTITUTES AND GRADUATE COURSES ..................... 491 NEWS ITEMS AND ANNOUNCEMENTS ..... 496 ABSTRACTS OF CONTRIBUTED PAPERS .................•... 472, 481, 500 ERRATA . • . 589 INDEX TO ADVERTISERS . 608 MEETINGS Calendar of Meetings NOn:: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the c;Noticei) was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American Mathematical Society. The meeting dates which fall rather far in the future are subject to change. This is particularly true of the meetings to which no numbers have yet been assigned.