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Problemy Analiza — Issues of Analysis, 2025, Volume 14(32), Issue 2, Pages 103–119
DOI: https://doi.org/10.15393/j3.art.2025.17170
(Mi pa426)
 

$\mathcal{I}^\mathcal{K}$-sequential and $\mathcal{I}^\mathcal{K}$-Fréchet-Urysohn spaces

S. Roya, M. Singhab

a Sima Roy Department of Mathematics, Raja Rammohun Roy Mahavidyalaya, Hooghly, 712406, West Bengal, India
b Department of Mathematics, University of North Bengal, Darjeeling, 734013, West Bengal, India
References:
Abstract: Notions of $\mathcal{I}^\mathcal{K}$-Fréchet-Urysohn and $\mathcal{I}^\mathcal{K}$-sequential spaces are studied by letting ideals $\mathcal{I}$, $\mathcal{K}$ of subsets of natural numbers to play measurable role in the well-established concepts of Fréchet-Urysohn and sequential spaces. Relation among those spaces in new and old setting have been established by introducing $\mathcal{I}^\mathcal{K}$-quotient maps and $\mathcal{I}^\mathcal{K}$-covering maps.
Keywords: $\mathcal{I}^\mathcal{K}$-quotient map, $\mathcal{I}^\mathcal{K}$-covering map, $\mathcal{I}^\mathcal{K}$-sequential space, $\mathcal{I}^\mathcal{K}$-Fréchet-Urysohn space.
Received: 28.11.2024
Revised: 23.04.2025
Accepted: 30.04.2025
Document Type: Article
UDC: 517.98
MSC: 40A35, 54C05, 54D55
Language: English
Citation: S. Roy, M. Singha, “$\mathcal{I}^\mathcal{K}$-sequential and $\mathcal{I}^\mathcal{K}$-Fréchet-Urysohn spaces”, Probl. Anal. Issues Anal., 14(32):2 (2025), 103–119
Citation in format AMSBIB
\Bibitem{RoySin25}
\by S.~Roy, M.~Singha
\paper $\mathcal{I}^\mathcal{K}$-sequential and $\mathcal{I}^\mathcal{K}$-Fr\'{e}chet-Urysohn spaces
\jour Probl. Anal. Issues Anal.
\yr 2025
\vol 14(32)
\issue 2
\pages 103--119
\mathnet{http://mi.mathnet.ru/pa426}
\crossref{https://doi.org/10.15393/j3.art.2025.17170}
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