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International Conference on Topology and its Applications
August 23-27, 1999
Kanagawa University
Yokohama, Japan

Organizers
Yukinobu Yajima, the chairman, Masami Sakai, the vice-chairman, Yoshihiro Abe, Kazuhiro Sakai, Toshiji Terada, Kenichi Tamano, Akio Kato, Takao Hoshina, Hisao Kato, Kazuhiro Kawamura, Akira Koyama, Tsugunori Nogura

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Free semigroup actions and topological entropy.
by
Alexander Bufetov
Independent University of Moscow, Moscow State University

We give a definition of topological entropy for free semigroup actions. Let a finitely generated free semigroup act on a compact metric space by continuous self-maps. To any such action we assign a skew-product transformation, whose fiber entropy is taken as a basis for defining the entropy of the initial action.The main result is a topological analogue of the Abramov-Rokhlin formula in this context.

Date received: December 3, 1998

Copyright © 1998 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 # caby-03.