OF THE AMERICAN MATHEMATICAL SOCIETY Edited by Everett Pitcher and Gordon L. Walker CONTENTS MEETINGS Calendar of Meetings . Inside Front Cover Program for the June Meeting in Seattle, Washington. 188 Abstracts for the Meeting: Pages A-548 - A-555 PRELIMINARY ANNOUNCEMENTS OF MEETINGS ..... 191 MEMORANDA TO MEMBERS . 201 Informal Sessions at Summer and Annual Meetings Changes in Abstracts NOMINATION BY PETITION . 202 SPECIAL MEETINGS INFORMATION CENTER . 204 LETTERS TO THE EDITOR . 207 PERSONAL ITEMS . 208 NEWS ITEMS AND ANNOUNCEMENTS. 201, 206, 209, 210 ABSTRACTS ........... A-499 SITUATIONS WANTED ADVERTISEMENTS. A-555 ERRATA- VOLUME 18 .......•. A-556 INDEX TO ADVERTISERS . A-561 PREREGISTRATION AND RESERVATION FORM A-562 Six Hundred Ninety-Fifth Meeting UDiversity of Washington Seattle, Washington June 17, 1972 The six hundred ninety-fifth meeting basis, and $5.50 per person per night in a of the American Mathematical Society single room. No maid service is provided. will be held at the University of Washing­ Reservations should be sent, before June 2, ton in Seattle, Washington, on Saturday, 1972, to Professor Gomer Thomas, De­ June 17, 1972. The Mathematical Asso­ partment of Mathematics, University of ciation of America and the Society for Washington, Seattle, Washington 98195, Industrial and Applied Mathematics will and should be accompanied by a check hold Northwest Sectional Meetings in con­ payable to the University of Washington junction with this meeting of the Society. and in the amount covering the length of The Association will have sessions on time desired. Room requests should in­ Friday and Saturday, June 16 and 1 7; the clude the expected time of arrival and the Saturday sessions will be concerned pri­ type of accommodations desired. marily with community college problems. The following motels and hotels are The SIAM sessions will be held on Friday, located within walking distance of the June 16. campus: By invitation of the Committee to Select Hour Speakers for Far Western UNIVERSITY TOWER HOTEL Sectional Meetings, there will be two in­ 4507 Brooklyn Avenue, N.E., Zip Code vited addresses. Professor Donald E. 98105 Sarason of the University of California, Phone (206) 634-2000 Berkeley, will lecture at 11:00 a.m. on Single $13.00 up Saturday on "Algebras of functions on the Double 15.50up unit circle." Professor Peter Crawley of Twin 18,00 up the California Institute of Technology and UNIVERSITY INN Brigham Young University will address 4140 Roosevelt Way, N.E., Zip Code 98105 at 2:00p.m. on Saturday. The the Society Phone (206) 632-5055 title of his lecture is" Extensions of Ulm' s Single $10.50 up theorem for abelian p-groups." These Double 12.50 up addresses will be given in room 134 of Twin 15,00 up the General Engineering Building. There Double-double 19.00 up will be sessions for contributed papers on Saturday morning. Late papers will be UNIVERSITY MOTEL accepted for presentation at the meeting, 4731 12th Avenue, N.E., Zip Code 98105 but late papers will not be listed in the Phone (206) 522-4724 printed program of the meeting. Sessions Single $10.00 up for contributed papers will be held in the Double 12,00 up General Engineering Building. Twin 12.00 up The registration desk will be located Double -double 16.00 up in room 111 of the General Engineering UNIVERSITY TRAVELODGE Building, and will be open for the duration 4725 25th Avenue, N.E., Zip Code 98105 of the meetings. Phone (206) 525-4612 Dormitory accommodations will be Single $10.00 up available on Thursday, Friday, and Satur­ Double 13.00 up day nights. These accommodations are Twin 14,00 up not recommended for families with chil­ dren under twelve. The rates are $3.50 per person per night on a double occupancy Reservations should be made directly with 188 the desired motel or hotel. Hotel in downtown Seattle and then take a Breakfast and lunch will be available taxi to the university district. Persons on Friday in the Union Building on campus. driving to the meeting on Interstate 5 There are numerous restaurants in Seattle, should take the 45th N.E. or 50th N.E. and several of them are located in the exit, drive east to 17th Avenue, N.E., area adjacent to the campus. turn right onto 17th Avenue, N.E., and Seattle is served by major airlines proceed onto the campus. Campus officers and bus companiE's. The University Tower on duty at the entrance will give further Hotel provides transportation for its pa­ directions. Special parking permits may trons from the Seattle-Tacoma Interna­ be purchased at the registration desk, but tional Airport. Other air travellers can will not be needed for the initial arrival take the airport limousine to the Olympic on campus. PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. To maintain this schedule, the time limit will be strictly enforced. SATURDAY, 9:00 A. M. Session on Analysis, Room 222, General Engineering Building 9:00-9:10 (1) On Wong's solution of the Rice problem. Preliminary report Professor William M. stone, Oregon state University (695-F1) 9:15-9:25 (2) An upper bound on the product of eigenvalues of an optimal linear system Dr. Clyde F. Martin, NASA, Ames Research Center, Moffett Field, California (695-C1) 9:30-9:40 (3) A theorem on Cesaro summability for fractional orders of integral Mr. Santiranjan Mukhoti, Council of Scientific and Industrial Research, Rafi Marg, New Delhi, India (695-B4) 9:45-9:55 (4) Value distribution of potentials in three real variables Professor Peter A. McCoy, Washington state University (695-B2) 10:00-10:10 (5) Flat Banach spaces and smoothness. Preliminary report Professor John H. M. Whitfield, University of Washington (695-B3) 10:15-10:25 (6) Generalized Banach algebras. Preliminary report Professor Ralph E. DeMarr, University of New Mexico (695-B1) 10:30-10:40 (7) The topological structure of the Bohr compactification of the group of integers. Preliminary report Dr. Isamu Okajima, Oregon State University (695-GB) SATURDAY, 9:00 A. M. Session on Topology, Room 223, General Engineering Building 9:00-9:10 (8) Numerical homotopy invariants and epimorphisms in the homotopy category Mr. James A. Draper, University of Washington (695-G4) 9:15-9:25 (9) Fixed point sets of conjugations Professor Allan L. Edelson, University of California, Davis (695-G7) *For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 189 9:30-9:40 (10) On the countable union of cellular decompositions of n-manifolds. Preliminary report Professor William L. Voxman, University of Idaho (695-G2) 9:45-9:55 (11) A new characterization of tame 2-spheres in E3 Dr. Lawrence R. Weill, Hughes Aircraft Company, Culver City, California (695-G1) 10:00-10:10 (12) Open and proper maps between convergence spaces Professor Gary D. Richardson, East Carolina University, and Professor Darrell c. Kent*, Washington State University (695-G5) 10:15-10:25 (13) The topological complementation theorem a la Zorn Professor Paul S. Schnare, University of Florida (695-G6) 10:30-10:40 (14) Nonstandard continuities and the closure monad. Preliminary report Mr. Gary L. Bender, Hughes Aircraft Company, Fullerton, California (695-G3) (Introduced by Professor Jan Mycielski) SATURDAY, 9:30 A. M. Session on Algebra, Room 224, General Engineering Building 9:30-9:40 (15) Reflexive subsemigroups and identity-reflexive congruences on semigroups. Preliminary report Professor Takayuki Tamura, University of California, Davis (695-A5) 9:45-9:55 (16) The study of left cancellative semigroups Professor Donald G. Burnell*, Washington State University, and Professor Takayuki Tamura, University of California, Davis (695-A4) 10:00-10:10 (17) Dense subrings of HomR(M, M), for R QF, and RM a faithful projective­ injective. Preliminary report Dr. Stuart A. Seligson, Redwood City, California (695-A2) 10:15-10:25 (18) Relations in categories Dr. Jeanne Meisen, University of British Columbia (695-A3) (Introduced by Professor Armin Frei) 10:30-10:40 (19) Primes within unit distances Professor Earl F. Ecklund, Jr,, Northern nlinois University, and Professor James H. Jordan*, Washington State University (695-A1) SATURDAY, 11:00 A. M. Invited Address, Room 134, General Engineering Building Algebras of functions on the unit circle Professor Donald E. Sarason, University of California, Berkeley SATURDAY, 2:00 P. M. Invited Address, Room 134, General Engineering Building Extensions of Ulm's theorem for abelian p-groups Professor Peter Crawley, California Institute of Technology and Brigham Young University Kenneth A. Ross Eugene, Oregon Associate Secretary 190 PRELIMINARY ANNOUNCEMENTS OF MEETINGS The Seventy-Seventh Summer Meeting Dartmouth College Hanover, New Hampshire August 29-September 1, 1972 The seventy- seventh summer meet­ 1:30 p.m. on Thursday, August 31; Pro­ ing of the American Mathematical Society fessor Chuan C. Hsiung of Lehigh Univer­ will be held at Dartmouth College, Hanover, sity, "Submanifolds of Riemannian mani­ New Hampshire, from Tuesday, August 29, folds," 1:30 p.m. on Friday, September 1; through Friday, September 1, 1972. All Professor Joachim Lambek of McGill Uni­ sessions of the meeting will take place on versity, "Noncommutative localization," the campus of the college. The times listed 2:45 p.m. on Friday, September 1; Pro­ for events of the meeting are EASTERN fessor Seymour Sherman of Indiana Uni­ DAYLIGHT SAVING TIME throughout. versity, "Monotonicity and magnetism," There will be two sets of Colloquium 2:45 p.m. on Thursday, August 31; Profes­ Lectures. Professor Stephen Smale of the sor Michael Shub of the University of University of California, Berkeley, will California, Santa Cruz, "Dynamical sys­ present four lectures entitled "Applica­ tems, filtrations, and entropy," 4:00p.m.