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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Bibliographic Details
Published in:	Applied general topology Vol. 4; no. 2; pp. 201 - 209
Main Author:	Naimpally, Som
Format:	Journal Article
Language:	English
Published:	Universitat Politècnica de València 01.10.2003
Subjects:	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
Online Access:	Get full text
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Summary:	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