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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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Compact spaces which do not map onto finite products
by
Antonio Aviles
University of Paris VII

A result of Treybig states that if a linearly ordered compact space (LOCS) maps onto a product of two infinite compacta, then both of them are metrizable. Mardesic conjectured a multiple-dimension version of this result: If a product of n many LOCS maps onto a product of n+1 many infinite compacta, then two of them are metrizable. We prove that two of them are separable. Our methods apply to other types of compacta, not LOCS, like the nonseparable euclidean ball. This is related to a joint work with O. Kalenda.

Date received: June 29, 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-26.