본문 바로가기
KERD
논문KCI 등재

On statistically sequentially quotient maps

V. Renukadevi|B. Prakash
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2017.03|한국수학논문집 (Korean Journal of Mathematics)|제25권 제1호|pp. 61-70|DOI http://dx.doi.org/10.11568/kjm.2017.25.1.61

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

sequence covering1-sequence coveringsequentially quotientsn-networkboundary compact map
주제분류수학

초록

In this paper, we introduce the concept of statistically sequentially quotient map which is a generalization of sequence covering map and discuss the relation with covering maps by some examples. Using this concept, we give an affirmative answer for a question by Fucai Lin and Shou Lin.

Abstract

In this paper, we introduce the concept of statistically sequentially quotient map which is a generalization of sequence covering map and discuss the relation with covering maps by some examples. Using this concept, we give an affirmative answer for a question by Fucai Lin and Shou Lin.

참고문헌 (23)

  1. B. Alleche, "Weak developments and metrization", Topology Appl, pp.23~38 (2000)
  2. A. Arhangel'skii, "Mappings and spaces", Russian Math. Surveys, 21 (1966)
  3. J. R. Boone, "Sequentially quotient mappings", Czech. Math. J, 26, pp.174~182 (1976)
  4. G. Di Maio, "Statistical convergence in topology", Topology Appl, 156, pp.28~45 (2008)
  5. H. Fast, "Sur la convergence statistique", Colloq. Math, 2, pp.241~244 (1951)
  6. S. P. Franklin, "Spaces in which sequences suffice", Fund. Math, 57, pp.107~115 (1965)
  7. Y. Ge, "On sn-metrizable spaces", Acta Math. Sinica, 45, pp.355~360 (2002)
  8. G. Gruenhage, "Spaces determined by point-countable covers", Paciffic J. Math, 113, pp.303~332 (1984)
  9. Z. Li, "Images of locally compact metric spaces", Acta Math. Hungar, 99, pp.81~88 (2003)
  10. J. Li, "On sequence-covering K􀀀mappings", Indian J. Pure Appl. Math, 34, pp.397~403 (2003)
  11. S. Lin, "On sequence-covering s-maps", Adv. Math, 25, pp.548~551 (1996)
  12. S. Lin, "Point-countable covers and sequence-covering Mappings" (2002), Science Press
  13. F. Lin, "On Sequence-covering boundary compact maps of metric spaces", Adv. Math(China), 39(1), pp.71~78 (2010)
  14. F. Lin, "Sequence-covering maps on generalized metric spaces", Houston J. Math, 40(3), pp.927~943 (2014)
  15. S. Lin, "Sequence-covering maps of metric spaces", Topology Appl, 109, pp.301~314 (2001)
  16. C. Liu, "On countable-to-one maps", Topology Appl, 154, pp.449~454 (2007)
  17. E. A. Michael, "Compact-covering images of metric spaces", Proc. Amer. Math. Soc, 37, pp.260~266 (1973)
  18. I. M. Niven, "An introduction to the theory of numbers" (1991), John wiley and sons. inc.
  19. I. J. Schoenberg, "The Integrability of certain function and related summability methods", Amer. Math. Monthly, 66, pp.361~375 (1959)
  20. F. Siwiec, "Sequence-covering and countably bi-quotient maps", General Topology Appl, 1, pp.143~154 (1971)
  21. V. V. Tkachuk, "Monolithic spaces and D-spaces revisited", Topology Appl, 156, pp.840~846 (2009)
  22. P. Yan, "Metrizability is preserved by closed sequence-covering maps", Acta Math. Sinica, 47(1), pp.87~90 (2004)
  23. Z. Tang, "Statistical versions of sequential and Frechet Urysohn spaces", Adv. Math. (china), 44, pp.945~954 (2015)

관련 논문AI추천

On Compact-covering Images of Locally Separable Metric SpacesNguyen Van Dung경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호On covering and quotient maps for $\mathcal{I}^{\mathcal{K}}$-convergence in topological spacesAnkur Sharmah, Debajit Hazarika대한수학회 · 대한수학회논문집2023 · 제38권 제1호Some necessary and sufficient conditions for a Frechet-Urysohn space to be sequentially compact홍우철대한수학회 · 대한수학회논문집2009 · 제24권 제1호On sequentially $g$-connected components and sequentially locally $g$-connectednessPalanichamy Vijayashanthi강원경기수학회 · 한국수학논문집2021 · 제29권 제2호THE k-QUOTIENT IMAGES OF METRIC SPACESChunyan Zheng, Shou Lin대한수학회 · 대한수학회논문집2012 · 제27권 제2호ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT홍우철대한수학회 · 대한수학회논문집2010 · 제25권 제3호

이 간행물의 다른 논문 (9건)

$([r,s],[t,u])$-interval-valued intuitionistic fuzzy generalized precontinuous mappings박춘기pp. 1-18Strong convergence of an iterative algorithm for a class of nonlinear set-valued variational inclusionsXie-Ping Ding, Salahuddinpp. 19-35Positive solutions of superlinear and sublinear boundary value problemsJuan A. Gatica, 김연호pp. 37-43Estimation of non-integral and integral quadratic functions in linear stochastic differential systems송일영, 최원, 신블라디미르pp. 45-60An extension of soft rough fuzzy setsIsmat Beg, Tabasam Rashidpp. 71-85
원문 보기