Extension Closed and Cluster Closed Subspaces
- 1 December 1972
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 24 (6) , 1132-1136
- https://doi.org/10.4153/cjm-1972-119-8
Abstract
One of the most useful properties of a compact Hausdorff space is that such a space is closed whenever embedded into a Hausdorff space. This property does not extend to compact spaces with respect to embeddings into arbitrary spaces. Thus, an interesting topological problem is to characterize the types of absolute “closure” properties that are possessed by compact spaces. This is the problem that is solved in the present paper.The following notation and terminology will be used below. We shall consider a fixed space X and subspace A, representing arbitrary nonempty open subsets of X (respectively A ) by W (respectively V).Keywords
This publication has 0 references indexed in Scilit: