Spaces on which every pointwise convergent series of continuous functions converges pseudo-normally

DOI10.1090/S0002-9939-04-07376-9zbMath1055.54017MaRDI QIDQ4825654

Lev Bukovský, Krzysztof Chris Ciesielski

Publication date: 28 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Rothberger propertyquasinormal convergence\(\Sigma\Sigma^*\)-spacepseudonormal convergence

Mathematics Subject Classification ID

(p)-spaces, (M)-spaces, (sigma)-spaces, etc. (54E18) Consistency and independence results (03E35) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20) Consistency and independence results in general topology (54A35) Real-valued functions in general topology (54C30) Peculiar topological spaces (54G99)

Related Items

Some remarks on games of certain star selection principles, Tightness games with bounded finite selections

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Porous sets and additivity of Lebesgue measure
• \(\gamma\)-sets and other singular sets of real numbers
• Some properties of C(X). I
• Spaces not distinguishing pointwise and quasinormal convergence of real functions
• The combinatorics of open covers. II
• Spaces not distinguishing convergences of real-valued functions.