Tightness of function spaces

Shou Lin

doi:10.4995/agt.2006.1935

Authors

Shou Lin Zhangzhou Teachers’ College

DOI:

https://doi.org/10.4995/agt.2006.1935

Keywords:

Function spaces, Fan tightness, Hurewicz spaces, Cardinal functions

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(C_p(X)) = ωH(X) = sup{H(Xⁿ) : n 2 N}.

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Author Biography

Shou Lin, Zhangzhou Teachers’ College

Department of Mathematics

References

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