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Characterizations of four covering properties by products

Authors :
Yukinobu Yajima
Source :
Topology and its Applications. (2):119-130
Publisher :
Published by Elsevier B.V.

Abstract

In the present paper, the four covering properties of topological spaces are paracompactness, subparacompactness, metacompactness and submetacompactness. We characterize these with the properties of certain products in terms of open (or closed) rectangles.

Subjects

Subjects :
Discrete mathematics
closed rectangle
subparacompact
ι-sequence
Mathematics::General Topology
Topological space
submetacompact
open rectangle
Paracompact
Product (mathematics)
product
Paracompact space
Geometry and Topology
orthocompact
metacompact
Mathematics

Details

Language :
English
ISSN :
01668641
Issue :
2
Database :
OpenAIRE
Journal :
Topology and its Applications
Accession number :
edsair.doi.dedup.....b2fb8867b0ad141baf6c40aa507f59d9
Full Text :
https://doi.org/10.1016/0166-8641(92)90052-2
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