Definition
A subspace Y is defined to be countably Aull-pamcompact in a topological space X if for every countable collection U of open subsets of X with , 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.
Remark
- It is not a property for topological spaces but subspaces.
Reference
- S. Kawaguchi, Results on relative expandability and relative pseudocompactness, Kyoto Univ. RIMS Kokyuroku, Vol.1492 (2006) pp.104-119