본문 바로가기
KERD
논문KCI 등재

$\mu$-countably compactness and $\mu\mathcal{H}$-countably compactness

Zuhier Altawallbeh|Ibrahim Jawarneh
대한수학회 (The Korean Mathematical Society)|2022.01|대한수학회논문집 (Communications of the KMS)|제37권 제1호|pp. 269-277|DOI 10.4134/CKMS.c200443

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

$\mu$-countably compactness$\mu\mathcal{H}$-countably compactness
주제분류수학

초록

We define and study the notion of $\mu$-countably compact \linebreak spaces in generalized topology and $\mu\mathcal{H}$-countably compact spaces which are considered with respect to a hereditary class $\mathcal{H}$. Some interesting properties and relations are provided in the paper. Moreover, some preservation of functions properties are studied and investigated.

Abstract

We define and study the notion of $\mu$-countably compact \linebreak spaces in generalized topology and $\mu\mathcal{H}$-countably compact spaces which are considered with respect to a hereditary class $\mathcal{H}$. Some interesting properties and relations are provided in the paper. Moreover, some preservation of functions properties are studied and investigated.

참고문헌 (14)

  1. Z. Altawallbeh, "More on almost countably compact spaces", Italian J. Pure Appl. Math, 43, pp.177~184 (2020)
  2. Z. Altawallbeh, "Nearly countably compact spaces", Int. Electron. J. Pure Appl. Math, 8(4), pp.59~66 (2014)[DOI]
  3. C. Carpintero, "µ-compactness with respect to a hereditary class", Boletim da Sociedade Paranaense de Matemática, 34(2), pp.231~236 (2015), Sociedade Paranaense de Matematica[DOI]
  4. Á. Császár, "Generalized topology, generalized continuity", Acta Mathematica Hungarica, 96(4), pp.351~357 (2002), Springer Science and Business Media LLC[DOI]
  5. Ákos Császár, "Generalized open sets in generalized topologies", Acta Mathematica Hungarica, 106(1-2), pp.53~66 (2005), Springer Science and Business Media LLC[DOI]
  6. Á. Császár, "Modification of generalized topologies via hereditary classes", Acta Mathematica Hungarica, 115(1-2), pp.29~36 (2007), Springer Science and Business Media LLC[DOI]
  7. Ákos Császár, "Weak structures", Acta Mathematica Hungarica, 131(1-2), pp.193~195 (2010), Springer Science and Business Media LLC[DOI]
  8. K. Kuratowski, "Topologie" (1933)
  9. Aleksandar Pavlovic, "Local function versus local closure function in ideal topological spaces", Filomat, 30(14), pp.3725~3731 (2016), National Library of Serbia[DOI]
  10. A. Qahis, "µ-Lindelöfness in terms of a hereditary class", Missouri J. Math. Sci, 28(1), pp.15~24 (2016)
  11. Lyngnys Emmanuel de Arruda Saraiva, "Generalized quotient topologies", Acta Mathematica Hungarica, 132(1-2), pp.168~173 (2010), Springer Science and Business Media LLC[DOI]
  12. M. S. Sarsak, "Weak separation axioms in generalized topological spaces", Acta Mathematica Hungarica, 131(1-2), pp.110~121 (2010), Springer Science and Business Media LLC[DOI]
  13. M. S. Sarsak, "Weakly µ-compact spaces", Demonstratio Math, 45(4), pp.929~938 (2012)
  14. A.M. Zahran, "Modification of weak structures via hereditary classes", Applied Mathematics Letters, 25(5), pp.869~872 (2012), Elsevier BV[DOI]

관련 논문AI추천

SUPER AND STRONG γH-COMPACTNESS IN HEREDITARY m-SPACESAhmad Al-Omari, Takashi Noiri대한수학회 · 대한수학회논문집2024 · 제39권 제3호ON COUNTABLY g-COMPACTNESS AND SEQUENTIALLY GO-COMPACTNESSJ. Kannan, Palanichamy Vijayashanthi강원경기수학회 · 한국수학논문집2021 · 제29권 제3호On $\theta$-Modifications of generalized topologies via hereditary classesAhmad Al-Omari, Shyamapada Modak, Takashi Noiri대한수학회 · 대한수학회논문집2016 · 제31권 제4호On soft compact and soft Lindel\"{o}f spaces via soft pre-open setsM. E. El-Shafei, T. M. Al-shami기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제17권 제1호On Nearly Pairwise Compact SpacesAjoy Mukharjee, Manoj Kumar Bose경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호On (ω)compactness and (ω)paracompactnessManoj Kumar Bose, Rupesh Tiwari경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제3호

이 간행물의 다른 논문 (22건)

Decompositions of graded maximal submodulesFida Moh’Dpp. 1-15When is $C(X)$ an EM-ring?Isaaf Atassi, Emad Abu Osbapp. 17-29A note on modular equations of signature 2 and their evaluationsSHRUTHI, Arjun Kumar Rathie, Belakavadi Radhakrishna Srivatsa Kumar, Nagara Vinayaka Udupa Sayinathpp. 31-43Rings in which every ideal contained in the set of zero-divisors is a d-idealNajib Mahdou, Abdeslam Mimouni, Adam Anebripp. 45-56$b$-Generalized derivations on Banach algebrasHusain Alhazmipp. 57-64
원문 보기