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On (ω)compactness and (ω)paracompactness

2012
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Kyungpook Mathematical Journal
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The notions of (ω)compactness and (ω)paracompactness are studied in product (ω)topology. The concept of countable (ω)paracompactness is introduced and some results on this notion are obtained. Definition 2.1(Bose and Tiwari [1]). If {J n } is a sequence of topologies on a set X with J n ⊂ J n+1 for all n ∈ N, then the pair (X, {J n }) is called an (ω)topological space. Definition 2.2(Bose and Tiwari [1]). Let (X, {J n }) be an (ω)topological space. A set G ∈ J n for some n is called an

doi:10.5666/kmj.2012.52.3.319
fatcat:xaddy2zeynbudkr6syg57fj7ga