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Set Theory, Topology and Banach Spaces (Second International Topology Conference in Kielce)
July 7-11, 2008
Institute of Mathematics, Jan Kochanowski University in Kielce; co-organized by Technical University of Lodz
Kielce, Poland

Organizers
Taras Banakh, Piotr Koszmider, Wieslaw Kubis

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On the set of Gd-points in compact spaces
by
Henryk Michalewski
University of Warsaw, Banacha 2, 02--097 Warszawa, Poland
Coauthors: Adam Krawczyk, Witold Marciszewski

For a compact space K we consider the set FC(K) of all Gd-points in K, i.e., points with countable base of neighborhoods in K. We show that, for every scattered Eberlein compact space K, the set FC(K) is a Gd-set in K. We also give an example of a scattered Eberlein compactum with non-metrizable set FC(K). Moreover, we give an example of a Corson compact space K such that FC(K) does not contain any dense Gd subset of K. This answers three questions of Tkachuk.

Date received: July 2, 2008

Copyright © 2008 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 # caxg-39.