Some results on [$n, m$]-paracompact and [$n, m$]-compact spaces

Hasan Z. Hdeib and Yusuf Ünlü

International Journal of Mathematics and Mathematical Sciences, 1997, vol. 20, 1-6

Abstract:

Let n and m be infinite cardinals with n ≤ m and n be a regular cardinal. We prove certain implications of [ n , m ] -strongly paracompact, [ n , m ] -paracompact and [ n , m ] -metacompact spaces. Let X be [ n , ∞ ] -compact and Y be a [ n , m ] -paracompact (resp. [ n , ∞ ] -paracompact), P n -space (resp. w P n -space). If m = ∑ k < n m k we prove that X × Y is [ n , m ] -paracompact (resp. [ n , ∞ ] -paracompact

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:120387

DOI: 10.1155/S0161171297000069

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