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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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Dividing a topological space into mutually disjoint and mutually homeomorphic subspaces
by
Kouki Taniyama
Tokyo Woman's Christian University

Let X be a topological space and n a natural number greater than or equal to two. Let A1, ... , An be mutually disjoint subspaces of X such that X=A1 \cup ... \cup An. Suppose that Ai and Aj are homeomorphic for any i, j in {1, ... , n}. Then we say that the n-tuple (A1, ... , An) is an n-division of X. We say that X is n-divisible if X has an n-division. Let Y be a topological space represented by a one-dimensional simplical complex consisting of at most countably many simplices. Then we show that for any natural number n, Y is n-divisible.

http://www.f.waseda.jp/taniyama/

Date received: June 28, 1999

Copyright © 1999 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-23.