Sandwich-type characterization of completely regular spaces

Sandwich-type characterization of completely regular spaces

All the higher separation axioms in topology, except for complete regularity, are known to have sandwich-type characterizations. This note provides a characterization of complete regularity in terms of inserting a continuous real-valued function. The known fact that each continuous real valued funct...

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Bibliographic Details
Main Author: Javier Gutiérrez García
Format: Article
Language:English
Published: Universitat Politècnica de València 2007-10-01
Series:Applied General Topology
Subjects:
Insertion
Sandwich theorem
Insertion theorem
Completely regular space
Lower semicontinuous
Upper semicontinuous
Compact.
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/1887

Internet

http://polipapers.upv.es/index.php/AGT/article/view/1887

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