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PRODUCTS OF BASE-κ-PARACOMPACT SPACES AND COMPACT SPACES

Part of: Basic constructions Fairly general properties

Published online by Cambridge University Press:  21 July 2011

LEI MOU
LEI MOU*
Affiliation:
Mathematics Department, Capital Normal University, Beijing 100048, PR China (email: [email protected])
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Abstract

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Let λ be a regular ordinal with λ≥ω1. Then we prove that (λ+1)×λ is not base-countably metacompact. This implies that base-κ-paracompactness is not an inverse invariant of perfect mappings, which answers a question asked by Yamazaki.

Keywords

baseparacompactproductordinal

MSC classification

Secondary: 54B10: Product spaces 54D70: Base properties
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 3 , December 2011 , pp. 387 - 392
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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