Cofinitely and co-countably projective spaces

Cofinitely and co-countably projective spaces

We show that X is cofinitely projective if and only if it is a finite union of Alexandroff compactatifications of discrete spaces. We also prove that X is co-countably projective if and only if X admits no disjoint infinite family of uncountable cozero sets. It is shown that a paracompact space X is...

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Bibliographic Details
Main Authors: Pablo Mendoza Iturralde, Vladimir V. Tkachuk
Format: Article
Language:English
Published: Universitat Politècnica de València 2002-10-01
Series:Applied General Topology
Subjects:
Cofinitely projective
Co-countably projective
Scattered compact
Online Access:http://polipapers.upv.es/index.php/AGT/article/view/2062

Internet

http://polipapers.upv.es/index.php/AGT/article/view/2062

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