A characterization of scattered compact (and $$\omega $$-bounded) spaces

For a Tychonoff space X by $$C_p(X)$$ C p ( X ) and $$C_k(X)$$ C k ( X ) we denote the space C ( X ) of continuous real valued functions on X endowed with the pointwise topology $$\tau _{p}$$ τ p and the compact-open topology $$\tau _{k}$$ τ k , respectively. If X is a pseudocompact space, then the...

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Bibliographic Details

Published in:	Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 119; no. 4; p. 94
Main Authors:	Ka̧kol, Jerzy, López-Alfonso, Salvador, Śliwa, Wiesław
Format:	Journal Article
Language:	English
Published:	Milan Springer Nature B.V 01.10.2025
Subjects:	Banach spaces Mathematical functions Subspaces Topology
ISSN:	1578-7303, 1579-1505
Online Access:	Get full text
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