Last-modified: 2010-08-14 (土) 00:44:55
A subspace Y of a space X is 1-countably paracompact in X if for every countable open cover U of X, there exists a collection V of open subsets of X with such that V is a partial refinement? of U and V is locally finite at each point of Y.
- It is not a property for topological spaces but subspaces.
- Y. Yasui, Results on relatively countably paracompact spaces, Questions Answers Gen. Topology, 17 (1999), 165-174.
- Y. Yasui, Characterizations of relatively countably paracompact spaces, Memoirs of Osaka Kyoiku University, Ser III, 50 (2001), 1-13.
- S. Kawaguchi, Results on relative expandability and relative pseudocompactness, Kyoto Univ. RIMS Kokyuroku, Vol.1492 (2006) pp.104-119