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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 equivalence of some combinatorial methods
by
Joanna Jureczko
Wyższa Szkoła Bankowa w Poznaniu Wydział Zamiejscowy w Chorzowie

The key of consideration is the Bolzano-Weierstrass method (the oldest method in set theory traditionally used in mathematical analysis for proving that each sequence of different real numbers has a monotone subsequence), which now is extended towards sets of regular cardinality. This method is a key for proving that two well known and useful combinatorial methods: strong sequences method (which is used in dyadic space theory) and Erdös-Rado theorem, are equivalent.

Date received: June 24, 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-21.