• Title/Summary/Keyword: Open spaces

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SOME RESULTS RELATED TO DENSELY HOMOGENEOUS SPACES

  • Cho, Sung-Ki
    • Communications of the Korean Mathematical Society
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    • v.11 no.4
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    • pp.1061-1066
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    • 1996
  • We will give an example which is a normal Hausdorff countable dense homogeneous space but not a densely homogeneous space. Next, we will give a proof for the fact that every nondegenerate component of densely homogenous spaces is open and densely homogeneous.

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WEIGHTED COMPOSITION OPERATORS FROM BERGMAN SPACES INTO WEIGHTED BLOCH SPACES

  • LI SONGXIAO
    • Communications of the Korean Mathematical Society
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    • v.20 no.1
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    • pp.63-70
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    • 2005
  • In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

SOME FIXED POINTTHEOREMS ON H-SPACES(I)

  • Lee, Byung-Soo;Lee, Sang-Chul
    • Communications of the Korean Mathematical Society
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    • v.10 no.2
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    • pp.325-330
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    • 1995
  • In this paper we obtain some fixed point theorems on H-spaces by using H-KKM theorems.

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Mated Fuzzy Topological Spaces

  • Lee, Eun-Pyo;Im, Young-Bin
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.2
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    • pp.161-165
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    • 2001
  • We introduce the concept of mated fuzzy topological spaces and then investigate some of their properties.

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QUASI-FUZZY CONTINUITY AND QUASI-FUZZY SEPARATION AXIOMS

  • Park, Jin-Han;Park, Jin-Keun;Shin, Su-Young
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1998.10a
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    • pp.70-76
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    • 1998
  • The aim of this paper is to study and find characterizations of quasi-fuzzy continuous and quasi-fuzzy closed mappings between fuzzy bitopological spaces. The notion of quasi-fuzzy open sets is used to defined quasi-fuzzy Ti (i=0, 1, 2) and quasi-fuzzy regular spaces and these spaces are investigated under quasi-fuzzy continuity. Finally, quasi-fuzzy connectednss is introduced and studied to some extent.

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ON L-FUZZY ALMOST PRECONTINUOUS FUNCTIONS

  • Min, Won-Keun
    • The Pure and Applied Mathematics
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    • v.3 no.1
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    • pp.53-58
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    • 1996
  • In 1981, R . Badard introduced the notion of fuzzy pretopological spaces and their representation[1]. And in 1992, R. Badard, et al. introduced the L-fuzzy pretopological spaces and studied properties of continuity, open map, closed map, and homeomorphism in L-fuzzy pretopological spaces. In this paper we introduce and study the concepts of almost continuous functions and weakly pre-continuous functions on L-fpts's.(omitted)

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Interval- Valued Fuzzy Minimal Structures and Interval-Valued Fuzzy Minimal Spaces

  • Min, Won-Keun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.8 no.3
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    • pp.202-206
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    • 2008
  • We introduce the concept of interval-valued minimal structure which is an extension of the interval-valued fuzzy topology. And we introduce and study the concepts of IVF m-continuous and several types of compactness on the interval-valued fuzzy m-spaces.