Citation
L. Hola et al., Normality and paracompactness of the Fell topology, P AM MATH S, 127(7), 1999, pp. 2193-2197
Citations number
14
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
127
Issue
7
Year of publication
1999
Pages
2193 - 2197
Database
ISI
SICI code
0002-9939(199907)127:7<2193:NAPOTF>2.0.ZU;2-F
Abstract
Let X be a Hausdorff topological space and CL(X) the hyperspace of all clos
ed nonempty subsets of X. We show that the Fell topology on CL(X) is normal
if and only if the space X is Lindelof and locally compact. For the Fell t
opology normality, paracompactness and Lindelofness are equivalent.