Let X be a T-1 topological space and Delta a nonempty family of closed subsets of X. We study the hit-and-miss hyperspace topology generated by Delta in terms of its upper and lower parts, focusing on first and second countability and quasi-uniformization. We also obtain some new results on the Vietoris and Fell topologies

Holà, L., Levi, S. (1997). Decomposition properties of hyperspace topologies. SET-VALUED ANALYSIS, 5(4), 309-321 [10.1023/A:1008608209952].

Decomposition properties of hyperspace topologies

Levi, S.
1997

Abstract

Let X be a T-1 topological space and Delta a nonempty family of closed subsets of X. We study the hit-and-miss hyperspace topology generated by Delta in terms of its upper and lower parts, focusing on first and second countability and quasi-uniformization. We also obtain some new results on the Vietoris and Fell topologies
Articolo in rivista - Articolo scientifico
Vietoris topology; Fell topology; hit-and-miss hyperspace topology
English
1997
5
4
309
321
none
Holà, L., Levi, S. (1997). Decomposition properties of hyperspace topologies. SET-VALUED ANALYSIS, 5(4), 309-321 [10.1023/A:1008608209952].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18635
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