The Alexandroff property and the preservation of strong uniform continuity

The Alexandroff property and the preservation of strong uniform continuity

In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role. Further, we display appropriate bornological/variational modifications of cl...

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Bibliographic Details
Main Author: Gerald Beer
Format: Article
Language:English
Published: Universitat Politècnica de València 2010-10-01
Series:Applied General Topology
Subjects:
Strong uniform continuity
Strong uniform convergence
Preservation of continuity
Variational convergence
Bornology
The Alexandroff property
The Bartle property
Shield
Quasi-uniform convergence
Bornological uniform cover
Sticking topology
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1712

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1712

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