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Singh, Sumit
- Star-Hurewicz Modulo an Ideal Property In Topological Spaces
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Authors
Affiliations
1 Department of Mathematics, University of Delhi, New Delhi-110007, IN
2 Department of Mathematics, Atmaram Sanatan Dharma College, University of Delhi, New Delhi, IN
1 Department of Mathematics, University of Delhi, New Delhi-110007, IN
2 Department of Mathematics, Atmaram Sanatan Dharma College, University of Delhi, New Delhi, IN
Source
The Journal of the Indian Mathematical Society, Vol 88, No 1-2 (2021), Pagination: 33–45Abstract
In this paper, a class of star-Hurewicz modulo an ideal spaces is introduced and studied. For an ideal K of finite subsets of N, a characterization of weakly star-K-Hurewicz extremally disconnected spaces is given using ideal. It is shown that star-Hurewicz modulo an ideal property is hereditary under clopen subspaces. In this manner we obtained relationships of star-Hurewicz modulo an ideal property with other existing Hurewicz properties in literature.Keywords
Hurewicz space, Stone-´Cech compactification, star-Hurewicz modulo an ideal, extremal disconnectedness, star-Hurewicz, Alexandroff duplicate
References
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- On Star-σ-Countably Compact Spaces
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Authors
Affiliations
1 Department of Mathematics, Dyal Singh College, University of Delhi, New Delhi-110003, IN
1 Department of Mathematics, Dyal Singh College, University of Delhi, New Delhi-110003, IN
Source
The Journal of the Indian Mathematical Society, Vol 90, No 1-2 (2023), Pagination: 105-113Abstract
A space X is said to be star-σ-countably compact if for every open cover U of X, there exists a σ-countably compact subset C of X such that St(C, U) = X. In this paper, we investigate the relationship between star-σ-countably compact spaces and other related spaces and also study the topological properties of star-σ-countably compact spaces.Keywords
Compact, Starcompact, σ-Countably Compact, Lindel¨of, Covering, Star-Covering, Topological Space.References
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