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PRODUCTS OF BASE-κ-PARACOMPACT SPACES AND COMPACT SPACES

Published online by Cambridge University Press:  21 July 2011

LEI MOU*
Affiliation:
Mathematics Department, Capital Normal University, Beijing 100048, PR China (email: moulei@mail.cnu.edu.cn)
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Abstract

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Let λ be a regular ordinal with λω1. 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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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