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Tightness of function spaces
Author(s) -
Shou Lin
Publication year - 2006
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2006.1935
Subject(s) - mathematics , cardinality (data modeling) , countable set , function (biology) , space (punctuation) , combinatorics , function space , discrete mathematics , linguistics , computer science , philosophy , evolutionary biology , biology , data mining
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}

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