Aull-paracompact

Definition

• 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

• 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.