본문 바로가기
KERD
논문KCI 등재

Convergence of sequences in generalized topological spaces via filter

Julio C. Ramos-Fernandez|Ennis Rosas|Margot Salas-Brown
대한수학회 (The Korean Mathematical Society)|2023.07|대한수학회논문집 (Communications of the KMS)|제38권 제3호|pp. 901-911|DOI 10.4134/CKMS.c220251

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

Generalized topological spacesfiltersconvergent sequences
주제분류수학

초록

In this paper a generalization of convergent sequences in connection with generalized topologies and filters is given. Additionally, properties such as uniqueness, behavior related to continuous functions are established and notions relative to product spaces.

Abstract

In this paper a generalization of convergent sequences in connection with generalized topologies and filters is given. Additionally, properties such as uniqueness, behavior related to continuous functions are established and notions relative to product spaces.

참고문헌 (21)

  1. R. Baskaran, "Sequential convergence in generalized topological spaces", J. Adv. Res. Pure Math, 3(1), pp.111~122 (2011)
  2. A. R. Bernstein, "A new kind of compactness for topological spaces", Fund. Math, 66, pp.185~193 (1969)[DOI]
  3. N. Bourbaki, "Elements de mathematique. Les structures fondamentales de l’analyse. 3. Topologie generale. 1. Structures topologiques. 2. Structures uniformes", pp.VIII~ (1940), Hermann & Cie
  4. C. Carpintero, "Minimal open sets on generalized topological space", Proyecciones, 36(4), pp.739~751 (2017)[DOI]
  5. H. Cartan, "Teorie des filtres", C. R. Acad. Sci, 205, pp.595~598 (1937)
  6. H. Cartan, "Filtres et ultrafiltres", C. R. Acad. Sci, 205, pp.777~779 (1937)
  7. W. Comfort, "The theory of ultrafilters" (2012), Springer Science and Business Media
  8. J. Connor, "On statistical limit points and the consistency of statistical convergence", J. Math. Anal. Appl, 197(2), pp.392~399 (1996)[DOI]
  9. A. Cs´asz´ar, "On the γ-interior and γ-closure of a set", Acta Math. Hungar, 80(1-2), pp.89~93 (1998)[DOI]
  10. A. Cs´asz´ar, "Generalized topology, generalized continuity", Acta Math. Hungar, 96(4), pp.351~357 (2002)[DOI]
  11. A. Cs´asz´ar, "Product of generalized topologies", Acta Math. Hungar, 123(1-2), pp.127~132 (2009)[DOI]
  12. D. Fang, "Strong and total Lagrange dualities for quasiconvex programming", J. Appl. Math, 2014, pp.453912~453919 (2014)[DOI]
  13. A. Guevara, "S-I-convergence of sequences", Trans. A. Razmadze Math. Inst, 174(1), pp.75~81 (2020)
  14. T. J. Jech, "Set theory, Springer Monographs in Mathematics" (2003), Springer
  15. V. M. Kadets, "Completeness in topological vector spaces and filters on N", Bull. Belg. Math. Soc. Simon Stevin, 28(4), pp.531~545 (2022)[DOI]
  16. A. A. Khan, "Set-Valued Optimization, Vector Optimization" (2015), Springer
  17. P. Kostyrko, "I-convergence", Real Anal. Exchange, 26(2), pp.669~685 (2000)
  18. J. E. Sanabria, "Sparacompactness in ideal topological spaces", Mat. Vesnik, 68(3), pp.192~203 (2016)
  19. R. D. Sarma, "On convergence in generalized topology", Int. J. Pure Appl. Math, 60(2), pp.205~210 (2010)
  20. P. K. Sharma, "Some topological properties of solution sets in partially ordered set optimization", J. Appl. Numer. Optim, 5, pp.163~180 (2023)
  21. J. Zhu, "Metric spaces with asymptotic property c and finite decomposition complexity", J. Nonlinear Funct. Anal, 2021, pp.15, 1~15, 12 (2021)

관련 논문AI추천

On $L-$generalized filters and netsG. A. Kamel기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제5호Convergence of Generalized Nets and Filters in Graded L-Fuzzy Topological SpacesK.K. Mondal, S.K. Samanta한국수학교육학회 · 이론수학과 교직수학2006 · 제13권 제1호Supra fuzzy convergence of fuzzy filtersA. A. Abd El-latif, A. A. Ramadan대한수학회 · 대한수학회보2008 · 제45권 제2호ON STRONG GENERALIZED NEIGHBORHOOD SYSTEMS AND sg-OPEN SETS민원근대한수학회 · 대한수학회논문집2008 · 제23권 제1호On covering and quotient maps for $\mathcal{I}^{\mathcal{K}}$-convergence in topological spacesAnkur Sharmah, Debajit Hazarika대한수학회 · 대한수학회논문집2023 · 제38권 제1호TD-SPACES IN GENERALIZED TOPOLOGICAL SPACES강철강원경기수학회 · 한국수학논문집2023 · 제31권 제4호

이 간행물의 다른 논문 (24건)

Local-global principle and generalized local cohomology modulesBui Thi Hong Cam, Do Ngoc Yen, Nguyen Minh Tripp. 649-661On nonnil-SFT ringsAli Benhissi, Abdelamir Dabbabipp. 663-677A study of differential identities on $\sigma$-prime ringsMuzibur Rahman Mozumder, Adnan Abbasi, Md. Arshad Madnipp. 679-693Areas of polygons with vertices from Lucas sequences on a planeSoYoung Seo, SeoYeon Park, SiHyun Moon, SeokJun Hong, 박호pp. 695-704S-coherent property in trivial extension and in amalgamated duplicationMohamed Chhiti, Salah Eddine Mahdoupp. 705-714
원문 보기