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Relatively subparacompact spaces. (English) Zbl 0985.54033
The authors provide definitions for a subset \(Y\) to be 1-subparacompact resp. 2-subparacompact resp. \(1^*\)-subparacompact in a space \(X\). These notions coincide with the usual notion of subparacompactness in the case that \(Y=X\). In the following the relationships between relative subparacompactness and some other known relative properties (e.g. proper metrizability and relative paracompactness) are investigated.

MSC:
54F65 Topological characterizations of particular spaces
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