INFIMA OF HYPERSPACE TOPOLOGIES

Authors
COSTANTINI C LEVI S PELANT J
Citation
C. Costantini et al., INFIMA OF HYPERSPACE TOPOLOGIES, Mathematika, 42(83), 1995, pp. 67-86
Citations number
19
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematika → ACNP
ISSN journal
00255793
Volume
42
Issue
83
Year of publication
1995
Part
1
Pages
67 - 86
Database
ISI
SICI code
0025-5793(1995)42:83<67:IOHT>2.0.ZU;2-P
Abstract
We study infima of families of topologies on the hyperspace of a metri zable space. We prove that Kuratowski convergence is the infimum, in t he lattice of convergences, of all Wijsman topologies and that the coc ompact topology on a metric space which is complete for a metric d is the infimum of the upper Wijsman topologies arising from metrics that are uniformly equivalent to d.