Function Spaces on τ-Corson Compacta and Tightness of Polyadic Spaces

Author: Bell M.   Marciszewski W.  

Publisher: Springer Publishing Company

ISSN: 0011-4642

Source: Czechoslovak Mathematical Journal, Vol.54, Iss.4, 2004-12, pp. : 899-914

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Abstract

We apply the general theory of τ-Corson Compact spaces to remove an unnecessary hypothesis of zero-dimensionality from a theorem on polyadic spaces of tightness τ. In particular, we prove that polyadic spaces of countable tightness are Uniform Eberlein compact spaces.