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Spring General Topology & Dynamic Systems Conference
March 16-19, 2000
University of the Incarnate Word and The University of Texas at San Antonio
San Antonio, TX, USA

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On Clopen sets in Cartesian Products
by
Raouchan Bouziakova
University of Wisconsin-Green Bay

Answers to the following questions are given.

Question 1. (communicated by Mike Reed) Is it always true that any clopen subset of the Cartesian product of two metrizable separable spaces X and Y can be represented as a union of clopen boxes?

Question 2. (Mike Reed) Is it always true that any clopen subset of the Cartesian product of two locally compact spaces can be represented as a union of clopen boxes?

Date received: February 24, 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 # cady-66.