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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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Conditions for local connectedness
by
Keith Whittington
University of the Pacific

It is shown that if a polonais topological group acts transitively on a locally compact polonais space, then for "most" pairs of points in the space, every continuum containing these points (if any) has arbitrarily small open connected neighborhoods. Characterizations are then given of local connectedness.

Date received: May 10, 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-06.