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Remarks on ω-domination of discrete subspaces.
- Source :
-
QM - Quaestiones Mathematicae . Oct2019, Vol. 42 Issue 8, p1091-1099. 9p. - Publication Year :
- 2019
-
Abstract
- Given a space X, we will say that a class of subsets of X is dominated by a class Ɓ if for any A ∈ , there exists a B ∈ Ɓ such that A ⊂. In particular, all (closed) discrete subsets of X are countably dominated (which we frequently abbreviate as ω-dominated) if, for any (closed) discrete set D ⊂ X, there exists a countable set B ⊂ X such that D ⊂. In this paper, we investigate the topological properties of spaces in which (closed) discrete subspaces are dominated either by countable subsets or by Lindelöf subspaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL spaces
*TOPOLOGICAL property
*SUBSPACES (Mathematics)
Subjects
Details
- Language :
- English
- ISSN :
- 16073606
- Volume :
- 42
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- QM - Quaestiones Mathematicae
- Publication Type :
- Academic Journal
- Accession number :
- 139081665
- Full Text :
- https://doi.org/10.2989/16073606.2018.1504831