AMERICAN MATHEMATICAL SOCIETY VOLUME 7, NUMBER 6 ISSUE NO. 49 NOVEMBER 1960 AMERICAN MATHEMATICAL SOCIETY Nottces Edited by GORDON L. WALKER Contents MEETINGS Calendar of Meetings ••••••••••.••••••••••••.••• 660 Program of the November Meeting in Nashville, Tennessee . 661 Abstracts for Meeting on Pages 721-732 Program of the November Meeting in Pasadena, California • 666 Abstracts for Meeting on Pages 733-746 Program of the November Meeting in Evanston, Illinois . • • 672 Abstracts for Meeting on Pages 747-760 PRELIMINARY ANNOUNCEMENT OF MEETINGS •.•.••••• 677 NEWS AND COMMENT FROM THE CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES ••••••••••••.••• 680 FROM THE AMS SECRETARY •...•••.••••••••.•••.• 682 NEWS ITEMS AND ANNOUNCEMENTS .•••••.•••••••••• 683 FEATURE ARTICLES The Sino-American Conference on Intellectual Cooperation .• 689 National Academy of Sciences -National Research Council .• 693 International Congress of Applied Mechanics ..••••••••. 700 PERSONAL ITEMS ••.•.••.•••••••••••••••••••••• 702 LETTERS TO THE EDITOR.. • • • • • • • . • . • . 710 MEMORANDA TO MEMBERS The Employment Register . • . • • . • • • • • . • • • • 712 Employment of Retired Mathematicians ••••••.••••..• 712 Abstracts of Papers by Title • • . • . • • • . • . • • . • . • • . • 713 Reciprocity Agreement with the Societe Mathematique de Belgique .••.•••.••.••.•.•••••..•••••.•. 713 NEW PUBLICATIONS ..•..•••••••••.•••.•••••••••• 714 ABSTRACTS OF CONTRIBUTED PAPERS •.•••••••.••..• 715 RESERVATION FORM .•...•.•.•••••.••••..•••...• 767 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 Asso­ ciation 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* 576 January 24-27, 1961 Washington, D. C. Dec. 9 (67 Annual Meeting) 577 February 25, 1961 New York, New York Jan. 12 578 April 6-8, 1961 N'ew York, New York Feb. 22 579 April 14-15, 1961 Chicago, Illinois Feb, 22 580 April 22, 1961 Stanford, California Feb. 22 581 June 14-16, 1961 Seattle, Washington May 1 582 August, 1961 Stillwater, Oklahoma (66th Summer Meeting) November 17-18, 1961 Milwaukee, Wisconsin January, 1962 Cincinnati, Ohio (68th Anual Meeting) August, 1962 Vancouver, British Columbia (67th Summer Meeting) January, 1963 Berkeley, California (69th Annual Meeting) August, 1963 Boulder, Colorado (68th Summer Meeting) *The abstracts of papers to be presented in person at the meetings must be re­ ceived in the Headquarters Offices of the Society in Providence, Rhode Island on or before these deadlines. The deadlines also apply to news items. The next two deadline dates for by title abstracts are December 2 and January 3. The NOTICES of the American Mathematical Society is published by the Society seven times a year, in 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 back numbers (none available before 1958) and inquiries should be addressed to the American Mathematical Society, Ann Arbor, Michigan, or 190 Hope Street, Providence 6, Rhode Island. Second-class postage paid at Ann Arbor, Michigan. 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 © 1960 by the American Mathematical Society Printed in tbe United States of America 660 FIVE HUNDRED SEVENTY-THIRD MEETING Vanderbilt University Nashville, Tennessee November 18-19, 1960 PROGRAM The five hundred seventy-third meeting of the American Mathe­ matical Society will be held at Vanderbilt University, Nashville, Ten­ nessee, on November 18-19, 1960, in Furman Hall, By invitation of the Committee to Select Hour Speakers for the Southeastern Sectional Meetings, Professor GayleS. Young, Jr. will address the Society on "Topological Methods for Complex Functions in the Disk" at 2:00P.M. Friday in Room 108, Furman Hall. Sessions for contributed papers will be held from 3:30 P.M. to 5:30P.M. on Friday and from 10:30 A.M. to noon on Saturday. Registration headquarters will be in Furman Hall and will be open from 10:00 A.M. Friday until noon on Saturday. The Rand Hall Cafeteria will be available for meal service. In addition most of the hotels and motels listed below provide dining service, and the others are in the immediate vicinity of such service. Reservations should be made directly with the chosen hotel or motel, Be sure to mention the American Mathematical Society in your correspondence as some of the rates quoted are somewhat be­ low the regular rates. Downtown hotels approximately two miles from the meeting: Single Twin Hermitage $5.oo -=---$IT.oo $10.00 - $18.00 Noel 5.50 - 10.50 9.00 - 13.00 james Robertson 4.50 - 6.50 8.50 - 10.00 Maxwell House 5.00 - 6.00 9.00 Andrew jackson 6.00 - 9.00 10.50 - 14.00 The following are within two blocks of the meeting place: Double Allen Hotel 2004 West End Avenue $6.00 $8.00 Anchor Motel West End at 20th Avenue 8.00 10.00 Medical Arts Building (Very limited number rooms available) 5.00 8.00 661 The motels listed below are within 10 minutes drive of the cam- pus: Single Double York Hotel Court 2501 Franklin Road $5.50 $7.00 Drake Motel Highway 41-70S 7.00 8.00 Biltmore Hotel Court 2400 Franklin Road 6.00 7.50 Vanderbilt University is about two miles west of downtown Nashville and is on West End Avenue at 21st Avenue, South. Mail and other messages for those attending the meeting may be sent in care of the Math em a tics Department, Vanderbilt University, Nashville, Tennessee. PROGRAM OF THE SESSIONS The time limitfor each contributed paper is ten minutes. The contributed papers are scheduled at 15 minute intervals so that lis­ teners can circulate between the different sessions. To maintain this schedule, the time limit will be strictly enforced. FRIDAY, 3:30P.M. Session on Topology, Room 202, Furman Hall 3:30 - 3:40 (1) Real commutative semigroups on the plane Professor J. G. Horne, Jr., University of Georgia (573-5) 3:45 - 3:55 (2) Cartesian products with intervals Professor Morton L. Curtis, Florida State University (573-11) 4:00 - 4:10 (3) The fundamental group of certain deleted product spaces Mr. C. W. Patty, University of North Carolina (573-12) 4:15- 4:25 (4) Shrinking continua in the n-sphere Mr. C. H. Edwards, Jr., University of Tennessee (573 -14) 4:30 - 4:40 (5) Local connectedness and inverse limit spaces Professor M. K. Fort, Jr., and Mr. Jack Segal, Univer­ sity of Georgia (573-4) 662 4:45 - 4:55 (6) Cut points in totally nonsemi-locally-connected continua Professor E. E. Grace, Emory University (573-22) FRIDAY, 3:30P.M. Session on Analysis, Room 208, Furman Hall 3:30 - 3:40 (7) A note on subseries convergence Professor Charles W. McArthur, Florida State Univer­ sity (573-7) 3:45 - 3:55 (8) Local linear dependence and the vanishing of the Wronskian Dr. Gary Meisters, RIAS, Baltimore, Maryland and the University of Nebraska (573-10) 4:00 - 4:10 (9) Facto ring merom orphic functions Professor William C. Fox, Tulane University (573-15) 4:15 - 4:25 (10) Generalized differentiation Professor Costas Kassimatis, North Carolina State Col­ lege (573-16) 4:30 - 4:40 (11) Generalized condensation points Professor N. F. G. Martin, University of Virginia (573 -17) SATURDAY, 10:00 A.M. General Session, Room 202, Furman Hall 10:00 - 10:10 (12) An axiom system for set theory Professor E. Baylis Shanks, Vanderbilt University (573-26) 10:15 - 10:25 (13) The secular characteristics of the motion of an earth satel­ lite Professor G. C. Caldwell and Professor R. A. Struble, North Carolina State College (573-18) 10:30 - 10:40 (14) General perturbational solutions of the Mathieu equation Professor Raimond A. Struble, North Carolina State Col­ lege (573-27) 10:45 - 10:55 (15) On the inverses of finite Toeplitz matrices Dr. Roy Leipnik, Naval Ordnance Test Station, China Lake, California and Dr. John E. Maxfield, University of Florida (573-24) 663 11:00- 11:10 (16) Properties of algebras almost equivalent to identities Professor Trevor Evans, Emory University (573-21) SATURDAY, 10:00 A.M. Session on Topology, Room 208, Furman Hall 10:00 - 10:10 (17) A linearly ordered continuum of arbitrarily high cardinality Professor Ben Fitzpatrick, Jr ,, Auburn University (573 -3) 10:15- 10:25 (18) Indecomposability and T(p) sets Professor H. S, Davis, Mr. D.P. Stadtlander and Pro­ fessor P. M. Swingle, University of Miami (573-13) 10:30 - 10:40 (19) Irreducible continua and T(p) sets Professor H. S. Davis, Mr. D.P. Stadtlander and Pro­ fessor P.M. Swingle, University of Miami (573-20) 10:45 - 10:55 (20) A clan with zero and without the fixed point property Professor Haskell Cohen, Louisiana State University (573-19) 11:00- 11:10 (21) Semigroups on trees Professor R. J, Koch, Louisiana State University and Professor L. F. McAuley, University of Wisconsin (573-23) 11:15 - 11:25 (22) A certain contractible open 3 -manifold, Preliminary report. Dr. D. R. McMillan, Jr ,, Louisiana State University (573 -25) SUPPLEMENTARY PROGRAM (To be presented by title) (23) Asymptotic behavior of general queues with one server. II. Dr. V. E. Beneff, Bell Telephone Laboratories, Incorpo­ rated, Murray Hill, New Jersey (573-1) (24) Some operational equations for symmetric polynomials Professor Leonard Garlitz, Duke University (25) Some congruences for the Bell polynomials Professor Leonard Garlitz, Duke University (26) A theorem on "ordered" polynomials in a finite field Professor Leonard Garlitz, Duke University 664 (27) Criteria for generalized Kummer's congruences Professor Leonard Carlitz and Mr.