June 9: T. Bartoszynski, Perfectly Meager Sets

Subject: June 9: T. Bartoszynski, Perfectly Meager Sets
From: Helmut Veith (kgs-owner@dbai.tuwien.ac.at)
Date: Tue Jun 06 2000 - 01:39:42 MET DST



We are pleased to inform you that Prof. Bartoszynski will hold a lecture:

 Speaker: Tomek Bartoszynski (Boise, Idaho and Rutgers University, NJ)
 Title: Perfectly meager sets

 Date & Time: Friday, June 9, 2000. 16:00 s.t.
                 Tea will be served at 15:30.

 Location: Institut für formale Logik ************************
              Universität Wien, "Josephinum" (note: unusual location)
              9., Währinger Straße 25, 2.Stock.************************
 A set of reals X is perfectly meager if X is meager inside every
 perfect set P. Uncountable perfectly meager sets can be constructed
 in ZFC.
 In 1935 Marczewski asked if the product of perfectly meager sets is
 perfectly meager. In this talk I will discuss the answer to this
 question given by the following two theorems.
 Theorem (Reclaw 1990) "No" is consistent with ZFC.
 Theorem(T.B. 2000) "Yes" is consistent with ZFC.

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