The Cech number of Cp(X) when X is an ordinal space
Submitted: 2013-11-12
|Accepted: 2013-11-12
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Keywords:
Spaces of continuous functions, Topology of pointwise convergence, Cech number, Ordinal space
Supporting agencies:
Fapesp
CONACyT and UNAM.
Abstract:
The Cech number of a space Z, C(Z), is the pseudocharacter of Z in βZ. In this article we obtain, in ZFC and assuming SCH, some upper and lower bounds of the Cech number of spaces Cp(X) of realvalued continuous functions defined on an ordinal space X with the pointwise convergence topology.
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