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Monotone normality in products

Abstract:

Monotone normality in finite and infinite topological products is investigated. As shown in (Heath et al., 1973), the countable (Tychonoff) power of a space is monotonically normal if and only if the space is stratifiable. It is shown that if the square of a space is monotonically normal, then all finite powers are monotonically normal and hereditarily paracompact. For certain special cases, it is observed that a space has all finite powers monotonically normal if and only if it linearly stra...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's version

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Institution:
University of Oxford
Oxford college:
St Edmund Hall
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute
Role:
Author
Publisher:
Elsevier Inc. Publisher's website
Journal:
Topology and its Applications Journal website
Volume:
91
Issue:
3
Pages:
181–195
Publication date:
1999-02-05
ISSN:
0166-8641
URN:
uuid:87a54830-957a-4fb2-a6a0-279ea788b408
Local pid:
ora:10769
Language:
English
Keywords:
Subjects:

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