Function spaces and local properties

• Autorzy: Ziqin Feng , Paul Gartside
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 54D30: Compactness
• 54C05: Continuous maps
• 54B10: Product spaces
• 54A25: Cardinality properties (cardinal functions and inequalities, discrete subsets)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2013
• Tom: 223
• Numer: 3
• Strony: 207-223

Daty

wydano

2013

Twórcy

autor

Ziqin Feng

• Department of Mathematics, Auburn University, Auburn, AL 36830, U.S.A.

autor

Paul Gartside

• Department of Mathematics, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

Identyfikatory

DOI

10.4064/fm223-3-2