Function spaces and local properties

Ziqin Feng, Paul Gartside

Type: Article

Publication Date: 2013-01-01

Citations: 0

DOI: https://doi.org/10.4064/fm223-3-2

Abstract

Necessary conditions and sufficient conditions are given for $C_p(X)$ to be a ($\sigma $-) $m_1$- or $m_3$-space. (A space is an $m_1$-space if each of its points has a closure-preserving local base.) A compact uncountable space $K$ is given with $C_{p}(K

Locations

Fundamenta Mathematicae - View - PDF

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+	A glance at spaces with closure-preserving local bases	2009	Alan Dow Ryan Martinez Vladimir V. Tkachuk
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