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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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A strengthening of the D-property with applications in dispersed spaces/superatomic Boolean algebras
by
Piotr Koszmider
Institute of Mathematics, Technical University of Łódź, Poland
Coauthors: Christina Brech

We show that a certain strengthening of the D-property of Baumgartner and Shelah is consistent. This can be applied to the techniques developed by Christina Brech to obtain a hereditarily separable scattered compact space of height w2 and a Banach space of density w2 with no uncountable biorthogonal systems.

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-38.