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PRODUCTS OF BASE-κ-PARACOMPACT SPACES AND COMPACT SPACES
Published online by Cambridge University Press: 21 July 2011
Abstract
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
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- 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