Star-Hurewicz Modulo an Ideal Property In Topological Spaces

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Authors

  • Manoj Bhardwaj
     Department of Mathematics, University of Delhi, New Delhi-110007 ,IN
  • B. K. Tyagi
     Department of Mathematics, Atmaram Sanatan Dharma College, University of Delhi, New Delhi ,IN
  • Sumit Singh
     Department of Mathematics, University of Delhi, New Delhi-110007 ,IN

DOI:

https://doi.org/10.18311/jims/2021/26630

Keywords:

Hurewicz space, Stone-´Cech compactification, star-Hurewicz modulo an ideal, extremal disconnectedness, star-Hurewicz, Alexandroff duplicate

Abstract

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.

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Published

2021-01-28

How to Cite

Bhardwaj, M., Tyagi, B. K., & Singh, S. (2021). Star-Hurewicz Modulo an Ideal Property In Topological Spaces. The Journal of the Indian Mathematical Society, 88(1-2), 33–45. https://doi.org/10.18311/jims/2021/26630

Issue

Volume 88, Issue 1-2, January-June 2021

Section

Articles

License

Copyright (c) 2021 Manoj Bhardwaj, B. K. Tyagi, Sumit Singh

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2020-12-23
Accepted 2023-01-30
Published 2021-01-28

 

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