Multivalued function spaces and Atsuji spaces

In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, Fell uniform topology on compacta and uniform topology on compacta. The second theme...

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Vydáno v:Applied general topology Ročník 4; číslo 2; s. 201 - 209
Hlavní autor: Naimpally, Som
Médium: Journal Article
Jazyk:angličtina
Vydáno: Universitat Politècnica de València 01.10.2003
Témata:
Atsuji spaces
Fell topology
Fell uniform topology
Graph topology
Multi-valued functions
Proximal continuity
Uniform continuity
Uniform topology
Vietoris topology
ISSN:1576-9402, 1989-4147
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Popis
Shrnutí:In this paper we present two themes. The first one describes a transparent treatment of some of the recent results in graph topologies on multi-valued functions. The study includes Vietoris topology, Fell topology, Fell uniform topology on compacta and uniform topology on compacta. The second theme concerns when continuity is equivalent to proximal continuity or uniform continuity.
ISSN:1576-9402
1989-4147
DOI:10.4995/agt.2003.2025