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Geometry and Applications
March 13-16, 2000
Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences and Novosibirsk State University
Novosibirsk, Russia

Organizers
Yu.G. Rushetnyak (Chair of Program Committee; Russia), V.V. Vershinin (Chair of Organizing Committee; Russia), A.A. Borisenko (Ukraine), Yu.D. Burago (Russia), V.M. Gol'dshtein (Israel), M.L. Gromov (France), I.G. Nikolaev (USA/Russia), S.P. Novikov (USA/Russia), A.V. Pogorelov (Ukraine), I.Kh. Sabitov (Russia)

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Some Trends in Monadology
by
S. Kutateladze
Sobolev Institute

It is sometimes beneficial to combine the theoretical and technical methods that are offered by the Boolean-valued and infinitesimal versions of nonstandard analysis which differ drastically in their contents and methods. Therefore, at least two ways are open to their simultaneous application. One approach consists in studying a  standard Boolean-valued model in the universe of Nelson's internal set theory (or in the universe of Kawai's external sets). In this case infinitesimals descend from some outer world. Many applications require using the other approach that consists in discovering infinitesimals inside Boolean-valued universes. In this talk the two combinations of nonstandard methods are discussed as regards monadology.

http://server.math.nsc.ru/LBRT/g2/english/ssk/cv.html

Date received: January 29, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-14.