Compactness with ideals
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Manoranjan Singha
and
Sima Roy
Abstract
Ideal convergence of subsequence is defined in such a way that every subsequence of an ideal convergent sequence is ideal convergent which enabled to introduce 𝓘 -compactness and 𝓘* -compactness of topological spaces meaningfully. The penetration of 𝓘 -nonthin subsequences gives rise to these twin concepts of compactness which are different from usual compactness even in metric spaces in general.
Acknowledgement
Our sincere thanks goes to the anonymous referees for their careful reading and constructive suggestions towards further improvement of language of the paper. Also the authors would like to acknowledge the Department of Mathematics, University of North Bengal for providing infrastructural support.
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(Communicated by L'ubica Holá )
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© 2023 Mathematical Institute Slovak Academy of Sciences
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Articles in the same Issue
- RNDr. Stanislav Jakubec, DrSc. passed away
- Schur m-power convexity for general geometric Bonferroni mean of multiple parameters and comparison inequalities between several means
- Conditions forcing the existence of relative complements in lattices and posets
- Radically principal MV-algebras
- A topological duality for dcpos
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- Addendum to “A generalization of a result on the sum of element orders of a finite group”
- Remarks on w-distances and metric-preserving functions
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- (ε, A)-approximate numerical radius orthogonality and numerical radius derivative
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- On the Lupaş q-transform of unbounded functions
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- A new generalization of Nadarajah-Haghighi distribution with application to cancer and COVID-19 deaths data
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