OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 12, NUMBER 4 ISSUE NO. 82 JUNE 1965 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. \V alker CONTENTS MEETINGS Calendar of Meetings • • • • . • • . • • • • • • • • . • • • • • • • • • • • • • • • • • • • 400 Program of the Meeting in Eugene, Oregon ••••••••.••.•.•••.•.•.• 401 Abstracts for the Meeting - Pages 449-456 PRELIMINARY ANNOUNCEMENT OF MEETING. • • • • . • • . • • • • • . • • • • . • • 404 ACTIVITIES OF OTHER ASSOCIATIONS •• , . • • • • • • • • • • • • • • • • • • • • • • • • 409 MEMORANDA TO MEMBERS Request for Names of Visiting Foreign Mathematicians ••• , • • • • • • . • • • 408. Mathematical Sciences Employment Register • • • • • • • • • • • • • • . • . • . • 411 Notice of Change of Address • • • . • . • • . • • • . • • • • • • • • • • . • • • • • • • • 411 NEWS ITEMS AND ANNOUNCEMENTS ........................ 410, 412, 418 PERSONAL ITEMS • • • . • . • • . • • • • • • • • • • • • • • • . • • • • • • • • • . • • • • • • 414 NEW AMS PUBLICATIONS. • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 417 DOCTORATES CONFERRED IN 1964. • • . • • • • • • • • • • • • • • . • • • • • • . • • • • 419 SUPPLEMENTARY PROGRAM- Number 32.... • . • • • • • • • • • . • • . • • • • • 443 ABSTRACTS OF CONTRIBUTED PAPERS ••••••••••••.•••••••••.•••• 447 INDEX TO ADVERTISERS • . • . • • • • • • • • • • • • • • • • . • • • . • • • • • • . • • • • • 494 RESERVATION FORM ••••••••••••••..••••••••••••••••••..•••• 495 MEETINGS Calendar of Meetings NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the cNoticeiJ 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. Meet- Deadline ing Date Place for No. Abstracts* 625 August 30 - September 3, 1965 Ithaca, New York July 9 (70th Summer Meeting) 626 October 30, 1965 Cambridge, Massachusetts Sept. 13 627 November 12-13, 1965 Lexington, Kentucky Sept. 28 628 November 26-27, 1965 Iowa City, Iowa Sept. 28 NOVEMBER 1965 Southern California Meeting. None scheduled 629 December 29, 1965 Berkeley, California Sept. 28 630 january 24-28, 1966 Chicago, Illinois (72nd Annual Meeting) April 9, 1966 Honolulu, Hawaii August 29 - September 2, 1966 (7lst Summer Meeting) New Brunswick, New jersey january 24-28, 1967 (73rd Annual Meeting) Houston, Texas August 28 - September 1, 1967 (72nd Summer Meeting) Toronto, Ontario, Canada January, 1968 San Francisco, California August 26-30, 1968 (73rd Summer Meeting) Madison, Wisconsin *The abstracts of papers to be presented in person at the meetings must be received in the Head­ quarters Offices of the Society in Providence, Rhode Island, on or before these deadlines. The dead­ lines also apply to news items. The next two deadline dates for the by title abstracts are .July 2 and September 6. 1965. --------·~-·~----- ThecNoticeiJ of the American Mathematical Society is published by the Society in January, February, April, June, August, October and November. Price per annual volume is $7.00. Price per copy $2.00. Special price for copies sold at registration desks of meetings of the Society, $1.00 per copy. Subscriptions, orders for back numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, 190 Hope Street, Providence, Rhode Island 02906. Second-class postage paid at Providence, Rhode Island, and additional mailing offices. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August4, 1947 (Sec. 34, 21, P. L. and R.). Accepted for mailing at the special rate of Postage provided for in section 34,40, paragraph (d). Copyright©, 1965 by the American Mathematical Society Printed in the UnitedStatesofAmerica 400 Six Hundred Twenty-Fourth Meeting University of Oregon Eugene, Oregon June 19, 1965 PROGRAM The six hundred twenty-fourth meet­ Dormitory space will be available on ing of the American Mathematical Society campus for the nights of June 17, 18, and 19. will be held at the University of Oregon in The rates are $3.50 per person for adults Eugene, Oregon, in conjunction with a and $1.00 for each child under 10. Reserva­ meeting of the Pacific Northwest Section of tions for dormitory accommodations also the Mathematical Association of America should be sent to Professor Beelman at the and the Society for Industrial and Applied address above. Requests should include the Mathematics. The American Mathematical number and names of the adults and child­ Society will meet on Saturday, June 19, 1965, ren, and the dates and times of arrival and and the Association and SIAM will hold departure. their sessions on Friday, June 18. The following is a list of Eugene By invitation of the Committee to motels which are within easy walking dis­ Select Hour Speakers for Far Western tance of the meetings. Sectional Meetings, the Society will be ad­ Flagstone Motel dressed at 11:00 A.M. on Saturday by Pro­ 1601 Franklin Boulevard fessor Murray Protter of the University of Single Double Twin California at Berkeley. The title of Pro­ $7.50 $9.00 $10.00 fessor Protter's talk is "The maximum Hyatt Chalet Motel principle". This address will be given in 1857 Franklin Boulevard Room 123 of the Science Building. There will be sessions for contributed $7 .oo $10.00 $12.00 papers at 9:30 A.M. and 2:00 P.M. in New Oregon Motel Rooms 16 and 30 of the Science Building. 1655 Franklin Boulevard Abstracts of the papers to be presented at these sessions appear on pages 449-456 $8.00 $10.00 $13.00 of these c}/ofi.ai) . There are cross refer­ Travel-Inn Motel ences to the abstracts in the program. 2121 Franklin Boulevard Registration for the meeting wilJ" take place in the lobby of the Science Building, $8.00 $10.00 $12.00 beginning at 9:00 A.M. on Friday and Anyone who wishes to stay in a motel Saturday. should write directly and as soon as pos­ On Friday night, June 18, there will sible to the motel for reservations. be a no-host banquet. Persons who plan to Meals will be available in Erb Mem­ attend are asked to make reservations in orial Union. advance. The desired number of tickets Eugene is served by the Southern should be requested from Glenn T. Beelman, Pacific Railway, United Airlines, West Department of Mathematics, University of Coast Airlines, and the Greyhound Bus Oregon, Eugene, Oregon. On Saturday after­ Company. Persons who drive to the meet­ no.on, a tea will be held. ings will find ample free parking on campus. 401 PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. The contributed papers are scheduled at 15 minute intervals. To maintain this schedule, the time limit will be strictly enforced. SATURDAY, 9:30A.M. General Session, Room 16, Science Building 9:30 - 9:40 (l) How to distinguish 5-dimensional space from 4-dimensional space Professor J. R. Reay, Western Washington State College (624-15) 9:45 - 9:55 (2) Trees in polyhedral graphs Mr. D. W. Barnette, University of Washington (624-11) (Introduced by Professor V. L. Klee) 10:00 - 10:10 {3) A generalization of the Cartan-Kahler theorem. Preliminary report Mr. Larry Mansfield, University of Washington ( 624-14) 10:15 - 10:25 {4) The visual cortex as a fiber bundle Dr. W. C. Hoffman, Boeing Scientific Research Laboratories, Seattle, Washington (624-2) SATURDAY, 9:30A.M. Session on Analysis, Room 30, Science Building 9:30 - 9:40 {5) Spatially homogeneous Markov operators Professor J. R. Brown, Oregon State University (624-23) 9:45 - 9:55 (6) On the transformation of integrals in measure space Dr. R. W. Chaney, Western Washington State College (624-12) 10:00 - 10:10 (7) On a class of non-linear differential-difference equations Dr. M. L. Slater, Sandia Corporation, Albuquerque, New Mexico (624-17) 10:15 - 10:25 {8) A generalization of a result of A. Tihonov Professor R. K. Juberg, University of Minnesota (624-22) SATURDAY, 11:00 A.M. Invited Address, Room 123, Science Building The maximum principle Professor Murray Protter, University of California, Berkeley SATURDAY, 2:00 P.M. Session on Logic, Algebra and Theory of Numbers, Room 16, Science Building 2:00 - 2:10 (9) Hyperarithmetic incomparability Mr. S. K. Thomason, Cornell University (624-3) 2:15 - 2:25 ( 10) A combinatorial problem connected with number theory Professor Ivan Niven, University of California, Berkeley, and University of Oregon (624-18) 402 2:30 - 2:40 ( 11) A limited arithmetic on simple continued fractions Professor j. H. Jordan* and Professor C. T. Long, Washington State University ( 624-13) 2:45 - 2:55 ( 12) A construction in category theory. Preliminary report Professor D. F. Sanderson, Western Washington State College (624-16) 3:00 - 3:10 (13) A note on inseparability Professor j. D. Reid, Syracuse University (624-20) 3:15 - 3:25 ( 14) The existence of inertial subalgebras Mr. E. C. Ingraham, University of Oregon (624-6) 3:30 - 3:40 ( 15) On finite p-groups with maximal automorphism groups Mr. R. A. Morris, Reed College (624-8) (Introduced by Mr. T. C. Brown) SATURDAY, 2:00P.M. Session on Analysis and Topology, Room 30, Science Building 2:00 - 2:10 ( 16) Invariant integrals on locally compact semigroups Dr. L. N. Argabright, University of California, Berkeley (624-10) 2:15- 2:25 ( 17) Invariant metrics Professor Hidegoro Nakano, Wayne State University (624-7) 2:30 - 2:40 ( 18) Function spaces of quasi-uniform spaces ProfessorS. A. Naimpally, Iowa State University (624-5) 2:45 - 2:55 (19) Dense, nowhere dense, dense in a set, and dense-in-itself Professor z. z. Yeh, University of Hawaii (624-4) 3:00- 3:10 (20) A general fixed point theorem Professor L. E. Ward, University of Oregon (624-9) 3:15 - 3:25 (21) On a question concerning fixed-points Professor A. L. Yandl, Seattle University (624-19) 3:30 - 3:40 (22) Even-integer connectivity and half-integer genus Mr. K. Demys, 307 S. 7th, Artesia, New Mexico (624-21) R.