chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2025-26-4-467-474cheb-2101Research ArticleКраткие сообщенияМонотонная звездная статистическая компактность в топологических пространствахMonotone star statistical compactness in topological spacesРакшитДебджаниRakshitDebjani

доктор математики

Ph.D. in Mathematics

debjanirakshit88@gmail.comБалПрасенджитBalPrasenjit

доктор математики

Ph.D. in Mathematics

balprasenjit177@gmail.comСаркарСусмитаSarkarSusmita

доктор математики

Ph.D. in Mathematics

susmitamsc94@gmail.comИнститут дипломированных финансовых аналитиков Индийского университета ТрипурыИндияThe Institute of Chartered Financial Analysts of India University TripuraIndia202529122025264467474Copyright © Ракшит Д., Бал П., Саркар С., 20252025Ракшит Д., Бал П., Саркар С.Rakshit D., Bal P., Sarkar S.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/2101

В данной работе мы используем статистическое компактное подпространство в качестве инструмента для введения понятия монотонного звездного s-компактного пространства.Это развивает работы С.Г. Попвасилева, Дж.Э. Портера, М. Матвеева, Л. Жункейры, Р. Уилсона, О. Аласа, Дж. ван Милла и В. Ткачука. Наряду со сравнением с различными формами компактности исследуются некоторые сохраняющие свойства монотонной звездной s-компактности. Более того, с помощью свойства 𝛿0-пересечения установлена характеристика пространства как конечного пересечения.

In this paper, we use statistical compact subspace as a tool to introduce the concept of monotone star s-compact space. This expands upon the work of S.G. Popvassilev, J.E. Porter, M. Matveev, L. Junqueira, R. Wilson, O. Alas, J. van Mill, and V. Tkachuk. Along with a comparison with different forms of compactness, several preservation like properties of monotone star s-compactness are investigated. More over a finite intersection like characterization of the space is established with the help of 𝛿0-intersection property.

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The authors declare that there are no conflicts of interest present.