Last-modified: 2010-08-13 (金) 02:12:37
A subspace Y of a space X is α-countably paracompact in X if for every countable collection U of open subsets of X with , there exists a collection V of open subsets of X such that , V is a partial refinement? of U and V is locally finite in X.
- It is not a property for topological spaces but subspaces.
- C.E. Aull, Paracompact subsets, Proc. the Second Prague Topological Symposium, 45-51, Prague, 1966.
- S. Kawaguchi, Results on relative expandability and relative pseudocompactness, Kyoto Univ. RIMS Kokyuroku, Vol.1492 (2006) pp.104-119