Function spaces and local properties

Ziqin Feng; Paul Gartside

Fundamenta Mathematicae, Tome 220 (2013), p. 207-223 / Harvested from The Polish Digital Mathematics Library

Résumé

Necessary conditions and sufficient conditions are given for $C_{p} (X)$ to be a (σ-) m₁- or m₃-space. (A space is an m₁-space if each of its points has a closure-preserving local base.) A compact uncountable space K is given with $C_{p} (K)$ an m₁-space, which answers questions raised by Dow, Ramírez Martínez and Tkachuk (2010) and Tkachuk (2011).

Publié le : 2013-01-01

Zbl 1286.54004

EUDML-ID : urn:eudml:doc:283057

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Ziqin Feng; Paul Gartside. Function spaces and local properties. Fundamenta Mathematicae, Tome 220 (2013) pp. 207-223. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm223-3-2/