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Relativization of Star-C-Hurewicz Property in Topological Spaces.
- Source :
-
Bulletin of the Iranian Mathematical Society . Aug2020, Vol. 46 Issue 4, p1101-1115. 15p. - Publication Year :
- 2020
-
Abstract
- In this paper, we introduced relatively star-C-Hurewicz property in topological spaces following the approach of Bonanzinga and Pansera (Acta Math Hungar 117(3):231–243, 2007) and Guido and Kočinac (Quest Answ Gen Topol 19:107–114, 2001). A subspace A of a topological space X is said to have relatively star-C-Hurewicz property in X (in short, RSCH) or relatively star-C-Hurewicz subspace of X if for each sequence U n : n ∈ ω of open covers of X there is a sequence A n : n ∈ ω of countably compact subsets of X such that x ∈ A belongs to S t (A n , U n) for all but finitely many n. It is shown that relatively star-C-Hurewicz property is hereditary. In this manner, we obtained relationships of relatively star-C-Hurewicz property with other existing Hurewicz properties in the literature. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL property
*TOPOLOGICAL spaces
Subjects
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 46
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 144688450
- Full Text :
- https://doi.org/10.1007/s41980-019-00315-2