Tightness of function spaces

Shou Lin

Abstract

The purpose of this paper is to give higher cardinality versions of countable fan tightness of function spaces obtained by A. Arhangel’skiı. Let vet(X), ωH(X) and H(X) denote respectively the fan tightness, ω-Hurewicz number and Hurewicz number of a space X, then vet(Cp(X)) = ωH(X) = sup{H(Xn) : n 2 N}.


Keywords

Function spaces; Fan tightness; Hurewicz spaces; Cardinal functions

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References

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