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Boise Extravaganza in Set Theory
March 31 - April 2, 2000
Boise State University
Boise, ID, USA

Organizers
Tomek Bartoszynski, Marion Scheepers

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Perfectly meager sets
by
Tomek Bartoszynski
Boise State University

A set of reals is perfectly meager if it is meager in every perfect set (in relative topology). In 1935 Marczewski asked if product of perfectly meager sets is perfectly meager. Reclaw showed that it is consistent with ZFC that the answer to this question is negative. It turns that it is also consistent that the answer to Marczewski's question is positive, and the purpose of the talk is to discuss this result.

Date received: April 11, 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 Mathematical Conference Abstracts. Document # cadv-15.