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- W2379236416 abstract "Generalizing paracompactness given by J.E.Porter(Top Appl,2003,128(2/3):145-156.),we introduce a new concept,base-sequencially mesocompactness.A space X is called base-sequencially mesocompact if there is a base B of X with |B|=w(X),such that for every open cover U for X,there is a subfamily B′■B which is an open convergent sequence-finite refinement of U.The notion of base-sequentially mesocompactness is a generalization of base-paracompactness and sequentially mesocompactness.By constructing convergent sequence-finite refinement of base,we mainly study the properties of base-sequentially mesocompact spaces.We discuss the followings:1) the implication relation between base-sequentially mesocompactness and other base covering properties,2) the inverse-preserving property of base-sequentially mesocompactness under perfect map,and 3) the product properties of base-sequentially mesocompactness.The results generalize properties of base-paracompacness and bring the base-cover properties of topological spaces to completion." @default.
- W2379236416 created "2016-06-24" @default.
- W2379236416 creator A5071142450 @default.
- W2379236416 date "2012-01-01" @default.
- W2379236416 modified "2023-09-24" @default.
- W2379236416 title "Some Properties of Base-sequentially Mesocompact Spaces" @default.
- W2379236416 hasPublicationYear "2012" @default.
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