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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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Compactification theorems for infinite-dimensions
by
Takashi Kimura
Saitama University, Japan

We report some results related to compactification theory for transfinite dimension.

Let h be an embedding from a separable metrizable space X into the Hilbert cube I\omega. Then, obviously, the closure of the image h(X) in I\omega is a compactification of X. We consider the function space C(X, I\omega) of all continuous mappings from X into I\omega with the sup-metric. In this talk, the residuality of the set of embeddings from X into I\omega with some properties will be discussed.

The small transfinite dimension of the Stone-Cech compactification will be also discussed.

Date received: July 11, 1997

Copyright © 1997 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 # caao-98.