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Aull-paracompact

Last-modified: 2010-07-23 (金) 14:24:38

Definition Edit

  • A subspace Y is said to be Aull-paracompact in X if for every collection U of open subsets of X with Y ⊂ ∪U, there exists a collection V of open subsets of X with Y = ∪V such that V is a partial refinement? of U and V is locally finite at each point of Y .

Reference Edit

  • Kawaguchi, Shinji(J-TSUKS-GAS) and Sokei, Ryoken(J-TOKYG-HS) , Some relative properties on normality and paracompactness, and their absolute embeddings. (English summary),
    Comment. Math. Univ. Carolin. 46 (2005), no. 3, 475--495.