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OF THE AMERICAN MATHEMATICAL SOCIETY VOLUME 11, NUMBER 3 ISSUE NO. 74 APRIL 1964 OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John \V. Green and Gordon L. \Yalker CONTENTS MEETINGS Calendar of Meetings ••• , • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 264 Program of the April Meeting in Reno, Nevada • • • • • • • • • • • • • • • . • • • 265 Abstracts for the Meeting- Pages 308-315 Program of the April Meeting in New York, New York • • • • • • • . • • • • • • 269 Abstracts for the Meeting - Pages 316-349 Program of the April Meeting in Chicago, Illinois • • • • • • • • • • • • • • • • • 280 Abstracts for the Meeting- Pages 350-371 PRELIMINARY ANNOUNCEMENTS OF MEETINGS ••••••••••••••••••••• 287 GOVERNMENT AGENCIES FORECAST LIMITED BUDGET ••••••••••••••• 291 MEMORANDA TO MEMBERS Reciprocity Agreement with the Turkish Society for Pure and Applied Mathematics • • • • • • • • • • . • • • . • • • • • • • • • • • • • • • . • • • 294 "By Title" Abstracts • • • • • • • • • . • • • • • • • • • • • • • • • • • • . • • • • • • • 294 NEW AMS PUBLICATIONS ••••••••••••••.•••••••••••••••••.•••• 294 PERSONAL ITEMS • • • • • • • • • • • • • . • • • • • • • • • • • • • • • • • • • • • • • • • • • • 295 NEWS ITEMS AND ANNOUNCEMENTS ••••••••••••••••••••••••••••• 298 LETTERS TO THE EDITOR • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 302 SUPPLEMENTARY PROGRAM- Number 24 ••.•••••••••••••.•••.•••• 303 ABSTRACTS OF CONTRIBUTED PAPERS ••••••••••••••..••••••••••• 306 INDEX TO ADVERTISERS ••••••.•••••••.•• , • • • • • • • • • • • • • • . • • • • 403 RESERVATION FORM ••••••••••••••..•••••••••••••••••••••••• 403 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 NOTICES 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 613 June 20, 1964 Pullman, Washington May 7 614 August 24-28, 1964 (69th Summer Meeting) Amherst, Massachusetts July 3 January 25-29, 1965 (7lst Annual Meeting) Denver, Colorado August 30 - September 3, 1965 (70th Summer Meeting) Ithaca, New York August, 1966 (7lst Summer Meeting) New Brunswick, New Jersey August, 1967 (72nd Summer Meeting) Toronto, Canada * 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 by title abstracts are April 30, 1964 and June 26, 1964, ----- -----~~~~· The NOTICES 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 August 4, 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 © 1964 by the American Mathematical Society Printed in the United States of America 264 Six Hundred Tenth Meeting University of Nevada Reno, Nevada Aprill8, 1964 PROGRAM The six hundred tenth meeting of Rooms 234 and 326 Scrugham Hall. Ab the American Mathematical Society will be stracts of the papers to be presented at held on Saturday, Aprill8, 1964 at the Uni these sessions appear on pages 308-315 versity of Nevada in Reno, Nevada, ofthese NOTICES. There are cross ref By invitation of the Committee to erences to the abstracts in the program. Select Hour Speakers for Far Western Late papers may be added to the program. Sectional Meetings, hour addresses will Information concerning late papers will be be given by Professor George B. Dantzig available at the Registration Desk. of the University of California at Berkeley, The Registration Desk will be lo and by Professor Marshall Hall, Jr. of cated in the lobby of Scrugham Hall, just the California Institute of Technology. Pro inside the main entrance on the south side fessor Dantzig will speak on" Mathematics of the building. of the decision sciences". The title of Pro There are many motels and hotels fessor Hall's address is "Block designs". in the city of Reno, The first eight listed Both lectures will be given in Room 100, below are within one-half mile of the cam Scrugham Hall. pus. The last four are in downtown Reno, Sessions for contributed papers will about a mile from the campus. be held at 9:30 A.M. and at 3:30P.M. in Single Double Twin Beds Capri Motel 895 North Virginia Street $7,00 $9,00 $9,00 Clos-In 575 North Virginia Street 8,00 8,00 10,00 Golden West Motel 538 North Virginia Street 8,00 8,00 10,00 Jackpot Motel 730 North Virginia Street 8,00 10,00 10,00 Savoy 705 North Virginia Street 10,00 12,00 14.00 Silver Dollar 817 North Virginia Street 7,00 8,00 10,00 Thunderbird Motel Lodge 420 North Virginia Street 12,00 12,00 17.00 Uptown Motel 570 North Virginia Street 7,00 8,00 12.00 Carousel Inn 601 West Fourth Street 10,00 - 12.00 10,00 - 12,00 12.00 - 14,00 265 Travel Lodge 655 West Fourth Street 8.00 - 10.00 10.00 12.00 Ace Motor Lodge 220 North Sierra Street 12.00 - 18.00 14.00 - 20.00 Cavalier Motor Lodge 150 Island Avenue 10.00 12.00 River House Motor Hotel 2 Lake Street 12.00 14.00 16.00 Riverside Hotel 17 South Virginia Street 10.00 - 12.00 15.00 - 16.00 16.00 - 18.00 Reservations can be obtained by tal Trailways and Greyhound Bus Lines; writing directly to the desired Motel or and by the Southern Pacific Railroad. The Hotel in Reno, Nevada. drive to Reno from San Francisco takes Luncheon will be served in the Stu about five hours over good highways. dent Union on Saturday. Coffee will be The University of Nevada campus available throughout the day in Room 225 is located at Ninth and Virginia Streets Scrugham Hall. Harold's Club in downtown on U. S. 39 5, about a mile north of the city Reno is offering a tour of the club with center of Reno. Persons who wish to drive cocktails on Friday afternoon at 5:00P.M. to the vicinity of Scrugham Hall should use Additional information about this tour can the entrance at Ninth and Evans. Scrugham be obtained by calling the Department of Hall is the third (and last) major building Mathematics at the University of Nevada, north of this entrance. Parking space will FA 3-2081, Extension 424, before 5:00 be available on the north side of Scrugham P.M. on Friday, April 17. and in a parking area about 100 yards Reno is served by Bonanza, Pacific, south of thi~ building. United, and Western Air Lines; Continen- PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. The papers are scheduled at 15 minute intervals so that listeners can circulate between different sessions. To maintain the schedule, the time limitwil1 be strictly enforced. SATURDAY, 9:30A.M. Session on Topology, Room 234, Scrugham Hall 9:30 - 9:40 ( 1) Some topological properties of certain spaces of differentiable homeomor phisms Mr. J. M. Robertson, University of Utah (610-12) 9:45 - 9:55 (2) Homogeneity of certain manifolds Professor H. R. Gluck, Harvard University (610-19) 10:00 - 10:10 (3) 2 spheres with a tame Cantor set of wild points Professor C. E. Burgess, University of Utah (610-9) 10:15 - 10:25 ( 4) A characterization of tame surfaces in E 3 Mr. L. D. Loveland, University of Utah (610-17) (Introduced by Professor C. E. Burgess) 266 10:30 - 10:40 (5) Fixed points for connected multi-valued functions Dr. R. E. Smithson, U, S. Naval Ordnance Test Station, China Lake, Cali fornia (610-8) SATURDAY, 9:30A.M. Session on Algebra, Room 326, Scrugham Hall 9:30 - 9:40 (6) A generalization of a theorem of Hermite Professor D. B. Lissner, Syracuse University (610-10) 9:45 - 9:55 (7) Power commutative rings Mr. L, P. Belluce and Dr. S. K. Jain*, University of California, River side (610-2) 10:00 - 10:10 (8) Automorphism group of groupoids and determination of groupoids of order 3 and 4 Professor Takayuki Tamura, Mr. R. G. Biggs* and Mr. D. G. Burnell, University of California, Davis (610-23) 10:15 - 10:25 (9) Simple subsemigroups of finite simple semigroups Professor Takayuki Tamura and Mr. J. L. Chrislock*, University of California, Davis (610-21) 10:30 - 10:40 ( 1 O) Finite semigroups with zero which are the union of their 0-minimal left ideals Professor R. B. Merkel, Sacramento State College (610-24) SATURDAY, 11:00 A.M. Invited Address, Room 100, Scrugham Hall Mathematics of the decision sciences Professor George B. Dantzig, University of California, Berkeley SATURDAY, 2:00P.M. Invited Address, Room 100, Scrugham Hall Block Designs Professor Marshall Hall, Jr., California Institute of Technology SATURDAY, 3:30 P.M. General Session, .Room 234, Scrugham Hall 3;30 - 3:40 ( 11) A note on the partition calculus Professor A. H. Kruse, New Mexico State University (610-20) 3:45 - 3:55 ( 12) A decision rule in the simplex method that avoids cycling Professor A. G. Azpeitia* and Professor D. J. Dickinson, University of Massachusetts (610-1) * For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.