본문 바로가기
KERD
논문KCI 등재

Some necessary and sufficient conditions for a Frechet-Urysohn space to be sequentially compact

홍우철
대한수학회 (The Korean Mathematical Society)|2009.01|대한수학회논문집 (Communications of the KMS)|제24권 제1호|pp. 145-152

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

Frechet-Urysohnsequentially compactP-closedminimal P and property(♣)
주제분류수학

초록

In this paper, we introduce a new property of a topological space which is weaker than sequential compactness and give some necessary and sufficient conditions for a Frechet-Urysohn space with the property to be sequentially compact.

Abstract

In this paper, we introduce a new property of a topological space which is weaker than sequential compactness and give some necessary and sufficient conditions for a Frechet-Urysohn space with the property to be sequentially compact.

참고문헌 (13)

  1. A. V. Arhangel’skii, "General Topology I, Encyclopaedia of Mathematical Sciences" (1990), Springer-Verlage
  2. A. Bella, "Embeddings first countable spaces with H-closed like properties", Topology Appl., 83, pp.53~61 (1998)
  3. A. Dow, "Embedding in R-closed spaces", Topology Appl., 15, pp.45~58 (1983)
  4. G. A. Edgar, "A cartesian closed category for topology", Topology Appl., 6, pp.65~72 (1976)
  5. S. P. Franklin, "Spaces in which sequences suffice II", Fund. Math., 61, pp.51~56 (1967)
  6. 홍우철, "Generalized Fr\'echet-Urysohn spaces", 대한수학회지, 44(2), pp.261~273 (2007), 대한수학회
  7. J. R. Porter, "Minimal extremally disconnected Hausdorff spaces", Topology Appl., 8, pp.9~26 (1978)
  8. T. G. Ragharan, "On minimal Hausdorff first countable spaces", Indian J. Pure Appl. Math., 14(2), pp.244~252 (1983)
  9. L. A. Steen, "Counterexamples in Topology" (1978), Springer-Verlag
  10. M. C. Vipera, "Some results on sequentially compact extensions", Comment. Math. Univ. Carolin., 39(4), pp.819~831 (1998)
  11. M. C. Vipera, "Some results on sequentially compact extensions", Comment. Math. Univ. Carolin., 39(4), pp.819~831 (1998)
  12. A. Wilansky, "Topology for Analysis" (1970), Ginn and Company
  13. S. Willard, "General Topology" (1970), Addison-Wesley Publ. Company

관련 논문AI추천

ON SPACES IN WHICH THE THREE MAIN KINDS OF COMPACTNESS ARE EQUIVALENT홍우철대한수학회 · 대한수학회논문집2010 · 제25권 제3호ON COUNTABLY g-COMPACTNESS AND SEQUENTIALLY GO-COMPACTNESSJ. Kannan, Palanichamy Vijayashanthi강원경기수학회 · 한국수학논문집2021 · 제29권 제3호A note on spaces which have countable tightness홍우철대한수학회 · 대한수학회논문집2011 · 제26권 제2호A NOTE ON SPACES DETERMINED BY CLOSURE-LIKE OPERATORS권선희, 홍우철영남수학회 · East Asian Mathematical Journal2016 · 제32권 제3호On sequentially $g$-connected components and sequentially locally $g$-connectednessPalanichamy Vijayashanthi강원경기수학회 · 한국수학논문집2021 · 제29권 제2호On Nearly Pairwise Compact SpacesAjoy Mukharjee, Manoj Kumar Bose경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제1호

이 간행물의 다른 논문 (12건)

A note on the first layers of Z_{p}-extensionsJangheon Ohpp. 1-4Stability of derivations on proper Lie CQ^{*}-algebrasAbbas Najati, G. Zamani Eskandanipp. 5-16Compatible maps and common fixed points in Menger probabilistic metric spacesServet Kutukcu, Sushil Sharmapp. 17-27On periodic boundary value problems of higher order nonlinear functional difference equations with p-LaplacianXingyuan Liu, Yuji Liupp. 29-40Unifying a multitude of common fixed point theorems employing an implicit relationJavid Ali, Mohammad Imdadpp. 41-55
원문 보기