Normality of $\sigma$-products
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- by Keiko Chiba PDF
- Proc. Amer. Math. Soc. 119 (1993), 999-1003 Request permission
Abstract:
We prove that no $\sigma$-product of an uncountable family of nontrivial spaces is hereditarily normal or hereditarily ${\omega _1}$-paracompact. Also, if every finite subproduct of a $\sigma$-product is (hereditarily) countably paracompact and (hereditarily) normal, then the $\sigma$-product is (hereditarily) countably paracompact iff it is (hereditarily) normal.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 999-1003
- MSC: Primary 54B05; Secondary 54B10, 54D20
- DOI: https://doi.org/10.1090/S0002-9939-1993-1165049-9
- MathSciNet review: 1165049