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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 744–757
DOI: https://doi.org/10.33048/semi.2021.18.055
(Mi semr1397)
 

This article is cited in 1 scientific paper (total in 1 paper)

Geometry and topology

On the uniqueness of $ \mathcal{I}$-limits of sequences

A. Blali, A. El Amrani, R. A. Hassani, A. Razouki

Sidi Mohamed Ben Abdellah University, B.P. 5206 Bensouda-Fès, Morocco
Full-text PDF (413 kB) Citations (1)
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Abstract: We define the $ \mathcal{I} $-sequential topology on a topological space where $ \mathcal{I} $ denotes an ideal of the set of positive integers. We also study the relationship between $ \mathcal{I}$-separatedness and uniqueness of $ \mathcal{I}$-limits of sequences. Furthermore, we give a characterization of uniqueness of $ \mathcal{I}$- limits of sequences by $ \mathcal{I}$-closedness of sequentially $ \mathcal{I}$-compact subset.
Keywords: $ \mathcal{I}$-convergence, $ \mathcal{I}$-sequential topology, $ \mathcal{I}$-separated, sequentially $ \mathcal{I}$-compact, $ \mathcal{I}$-bounded, sequentially $ \mathcal{I}$-continuity.
Received January 30, 2021, published July 1, 2021
Bibliographic databases:
Document Type: Article
UDC: 515.12
MSC: 40A05
Language: English
Citation: A. Blali, A. El Amrani, R. A. Hassani, A. Razouki, “On the uniqueness of $ \mathcal{I}$-limits of sequences”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 744–757
Citation in format AMSBIB
\Bibitem{BlaEl Has21}
\by A.~Blali, A.~El Amrani, R.~A.~Hassani, A.~Razouki
\paper On the uniqueness of $ \mathcal{I}$-limits of sequences
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 744--757
\mathnet{http://mi.mathnet.ru/semr1397}
\crossref{https://doi.org/10.33048/semi.2021.18.055}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674363000001}
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  • https://www.mathnet.ru/eng/semr/v18/i2/p744
  • This publication is cited in the following 1 articles:
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