Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903981 | Topology and its Applications | 2018 | 22 Pages |
Abstract
For example, a space X satisfies S1(D,S) (resp., Sfin(D,S)) if whenever {Dn:nâN} is a sequence of dense subsets of X, one can take points xnâDn (resp., finite FnâDn) such that {xn:nâN} (resp., â{Fn:nâN}) is sequentially dense in X. Other properties are defined similarly. S1(D,D) (=R-separability) and Sfin(D,D) (=M-separability) for Cp(X) were already investigated by several authors. In this paper, we have gave characterizations for Cp(X) to satisfy other 6 properties above.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alexander V. Osipov,