Title of article
Compact spaces of separately continuous functions in two variables
Author/Authors
Gulʹko، نويسنده , , Sergei P. and Sokolov، نويسنده , , Gennady A. Kivman ، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2000
Pages
8
From page
89
To page
96
Abstract
For compacta X and Y, let SCp(X×Y) be the space of all separately continuous functions on the product X×Y with the topology of pointwise convergence. We prove that any compact subspace Z in SCp(X×Y) is a Corson compactum in the case where X or Y is ccc (= has the Souslin property). We study this new class of compacta.
Keywords
Separately continuous function , Topology of pointwise convergence , Eberlein compactum , Corson compactum
Journal title
Topology and its Applications
Serial Year
2000
Journal title
Topology and its Applications
Record number
1576278
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