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Set starcompact and related spaces

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Abstract

Motivated by the Arhangel’skii (Dokl Akad Nauk SSSR 175:751–754, 1967) “sLindelöf cardinal function” definition. We introduce some new covering properties called set starcompactness and set strongly starcompactness. We investigate their relationship to other related properties and study the topological properties of set starcompactness and set strongly starcompactness. Some open problems are posed.

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Acknowledgements

The author would like to thank the referee for his/her valuable suggestions and comments.

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  1. Department of Mathematics, University of Delhi, New Delhi, 110007, India

    Sumit Singh

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  1. Sumit Singh
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Correspondence to Sumit Singh.

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Singh, S. Set starcompact and related spaces. Afr. Mat. 32, 1389–1397 (2021). https://doi.org/10.1007/s13370-021-00906-5

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