Geodesic
Function spaces and local properties
Ziqin Feng1 ; Paul Gartside2
1 Department of Mathematics Auburn University Auburn, AL 36830, U.S.A.
2 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A.
Fundamenta Mathematicae, Tome 223 (2013) no. 3, pp. 207-223.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $C_{p}(K)$ an $m_1$-space, which answers questions raised by Dow, Ramírez Martínez and Tkachuk (2010) and Tkachuk (2011).
DOI : 10.4064/fm223-3-2
Keywords: necessary conditions sufficient conditions given sigma space space space each its points has closure preserving local base compact uncountable space given space which answers questions raised dow ram rez mart nez tkachuk tkachuk

Ziqin Feng 1 ; Paul Gartside 2

1 Department of Mathematics Auburn University Auburn, AL 36830, U.S.A.
2 Department of Mathematics University of Pittsburgh Pittsburgh, PA 15260, U.S.A. 
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Ziqin Feng; Paul Gartside. Function spaces and local properties. Fundamenta Mathematicae, Tome 223 (2013) no. 3, pp. 207-223. doi : 10.4064/fm223-3-2. http://geodesic.mathdoc.fr/articles/10.4064/fm223-3-2/

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