Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Closure-preserving covers in function spaces

David Guerrero Sánchez — 2010

Commentationes Mathematicae Universitatis Carolinae

It is shown that if C p ( X ) admits a closure-preserving cover by closed σ -compact sets then X is finite. If X is compact and C p ( X ) has a closure-preserving cover by separable subspaces then X is metrizable. We also prove that if C p ( X , [ 0 , 1 ] ) has a closure-preserving cover by compact sets, then X is discrete.

Page 1

Download Results (CSV)