Notices of the American Mathematical Society 3
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OF THE AMERICAN MATHEMATICAL SOCIETY Edited by John W. Green and Gordon L. \Yalker CONTENTS MEETINGS Calendar of Meetings ••••••••••••••••••••••••••••••••••••• 768 Program of the November Meeting in Tampa, Florida ••••••••••••••• 769 Abstracts for the Meeting- Pages 815-828 Program of the November Meeting in La jolla, California •••••••••••• 774 Abstracts for the Meeting - Pages 829-834 Program of the November Meeting in Mexico • • • • • . • • • • • • • • • • • • • • 777 Abstracts for the Meeting - Pages 835-853 Program of the December Meeting in Washington, D. C ••••••••••••• 784 PRELIMINARY ANNOUNCEMENT OF MEETING.. • • • • • • • • • • • • • • • • • • • 785 ACTIVITIES OF OTHER ASSOCIATIONS ••••••••••••••••••••••••••• 789 THE NEW HEADQUARTERS BUILDING........................... 790 BOWDOIN SUMMER SEMINAR IN ALGEBRA. • • • • • • • • • • • • • • • • • • • • • • • 792 NATIONAL ACADEMY OF SCIENCES--National Research Council. • • • • • • • • 793 THE FIFTH GENERAL ASSEMBLY OF THE INTERNATIONAL MATHEMATICAL UNION. • • • • • • • • • • • • • • • • • 794 NEWS ITEMS AND ANNOUNCEMENTS •••••••••••••••••••••••••••• 796 VISITING FOREIGN MATHEMATICIANS • • • • • • • • • • • • . • • • • • • • • • • • • • • 799 PERSONAL ITEMS • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 806 MEMORANDA TO MEMBERS Subscription Renewals and Address Changes • • • • • • • • • • • • • • • • • • • • 812 Mailing of the Notices • • • • • • • • • • • • • • • • • • • • • • • • • •••••••••• 812 SUPPLEMENTARY PROGRAM- Number 42.......... • • • • • • • • • • • • • • 813 ABSTRACTS OF CONTRIBUTED PAPERS •••••••••••••••••••••••••• 815 INDEX TO ADVERTISERS • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • 877 RESERVATION FORM ••••••••••••••••••••• ~ ••••••••••••••••• 878 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 c}fofiai) 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* 642 The 73rd Annual Meeting (January 24-28, 1967) Houston, Texas Dec,2 643 February 25, 1967 New York, New York Jan. 12 April 5-8, 1967 New York, New York April 22, 1967 San Jose, California June 17, 1967 Missoula, Montana The 72nd Summer Meeting (August 28-September 1, 1967) Toronto, Ontario, Canada The 74th Annual Meeting (January 23-27, 1968) San Francisco, California The 73rd Summer Meeting (August 26-30, 1968) Madison, Wisconsin The 74th Summer Meeting (August 25-29, 19.69) Eugene, Oregon *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 deadline dates forthebytitleabstractsare November 25 and .January 5, 1967, -----~--------·----·--- The cNotiaiJ of the American Mathematical Society is ,Published by the Society in January, February, April, June, August, October, November and December. 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 ba~k numbers (back issues of the last two years only are available) and inquiries should be addressed to the American Mathematical Society, P.O. Box 6248, Providence, Rhode Island 02904. 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©. 1966 by the American Mathematical Society Printed in the United States of America 768 Six Hundred Thirty-Eighth Meeting University of South Florida Tampa, Florida November 11-12, 1966 PROGRAM The six hundred thirty-eighth meet Dedecker will speak at 9:00 a.m.on Saturday, ing of the American Mathematical Society November 12, in the Business Administra will be held on Friday and Saturday, Novem tion Building, Room 101-2-3. The title of his ber 11-12, 1966, at the University of South talk is "The problems of non-abelian homo Florida in Tampa, Florida. logical algebra." By invitation of the Committee to There will be sessions for contributed Select Hour Speakers for Southeastern Sec papers at 2:15p.m. on Friday, November 11, tional Meetings there will be addresses by and at 10:10 a.m. on Saturday, November 12. Professor A. W. Goodman of the University Registration for the meeting will take of South Florida, Professor Jacques Dix place in the Business Administration Build mier of Tulane University, and Professor ing and will be open from 12 noon to 5:00 Paul Dedecker of Florida State University. p.m. on November 11, and from 9:00a.m. Professor Goodman will speak at 1:00 p.m. to 12 noon on November 12. on Friday, November 11, in Room 141 of There will be a reception for mem the Physics Building on the" Open problems bers and guests on Friday, November 11, on univalent and multivalent functions." from 5:00 to 6:00 p.m. at the University The title of Professor Dixmier's talk is Center, Room 252. "Enveloping algebras of Lie algebras," and The Local Arrangements Committee it will be given in Room 101-2-3 of the consists of the following: A. W. Goodman, Business Administration Building at 4:00 D. C. Rose, B. A. Fusaro and R. J. Roth. p.m. on Friday, November 11. Professor --------------------------- PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten min utes. The contributed papers are scheduled at 15 minute in tervals. To maintain this schedule, the time limit will be strictly enforced. FRIDAY, 1:00 P.M. Invited Address, Room 141, Physics Building Open problems on univalent and multivalent functions Professor A. W. Goodman, University of South Florida FRIDAY, 2:15P.M. Sessions on Algebra, Room 101, Business Administration Building 2:15-2:25 ( 1) Automorphisms of abstract affine near-rings Professor J. J. Malone, Jr., University of Houston (638-29) 2:30-2:40 (2) Iterative higher derivations in fields of prime characteristic. Preliminary report Professor F. J. Zerla, University of South Florida (638-7) 769 Z:45-Z:55 (3) Primary ideals and valuation ideals. II. Preliminary report Professor R. W. Gilmer, Jr., and Mr. W. J. Heinzer*, Florida State Uni versity (638-lZ) 3:00-3:10 (4) Baer rings which arise from certain transitive graphs Professor W. E. Clark, University of Florida (638-Z7) 3:15-3:Z5 (5) Convergent higher derivations on local rings Professor Nickolas Heerema, Florida State University (638-30) 3:30-3:40 (6) Medial means on an arc Mr. K. N. Sigmon, University of Florida (638-34) 3:45-3:55 ( 7) A note on the quotient field of the domain D [ [X] ] • Preliminary report Professo·r R. W. Gilmer, Jr., Florida State University (638-6) FRIDAY, Z:l5 P.M. Sessions on Analysis, Room 103, Business Administration Building Z:l5-Z:Z5 (-8) Cebysev subspaces and unconditional bases in Banach spaces Professor J. R. Retherford, Louisiana State University, Baton Rouge (638-15) Z:30-Z:40 (9) The minimum miss distance problem Professor T. F. Bridgland, Jr.*, University of Alabama and Mr. J. S. Hinkel, University of South Carolina (638-13) Z:45-Z:55 ( 1 O) On the continuation of solutions of a certain nonlinear differential equation Professor C. V. Coffman, Carnegie Institute of Technology and Professor D. F. Ullrich*, North Carolina State University (638-4) 3:00-3:10 (11) Asymptotic behavior of the solutions of a nonhomogeneous singular equation Professor T. G. Hallam, Florida State University (638-3) 3:15-3:Z5 ( lZ) A mean value characterization of elliptic equations with real constant coeffi cients· Dr~ A. K. Bose, University of Alabama (638-5) 3:30-3:40 (13) Iterative construction of constrained Tchebycheff approximations of continuous functions Professor R". C. Jones, Jr*, University of Florida and Professor L. A. Karlovitz, University of Maryland and Western Reserve University ( 638-16) 3:45-3:55 ( 14) A criterion for n-n oscillations in differential equations of order Zn Professor D. B. Hinton, University of Georgia (638-19) FRIDAY, Z:l5 P.M. Session on Topology, Room 115, Business Administration Building Z: 15-Z:Z5 ( 15) Homothetic property of contractive one-to-one mappings Professor Ludvik Janos, University of Florida (638-11) * For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. 770 2:30-2:40 ( 16) Flows that fiber and some semigroup questions Professor j. G. Horne, University of Georgia (638-20) 2:45-2:55 ( 1 7) A note on acyclic continua Professor R. E ... Smithson, University of Florida (638-17) 3:00-3:10 ( 18) Unknotting manifolds with low dimensional spines. Preliminary report Dr. Ralph Tindell, Institute for Advanced Study ( 638-23) 3:15-3:25 ( 19) Monotone union property of manifolds Mr. L. S. Husch, Florida State University (638-14) 3:30-3:40 (20) An extension of Eilenberg's characterization of unicoherence by exponential representation of mappings into the circle Professor R. F. Dickman, Jr., University of Miami (638-33) 3:45-3:55 (21) Homology of deleted products