• Title/Summary/Keyword: k smooth spaces

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Smooth uniform spaces

  • Ramadan, A.A.;El-Dardery, M.;Kim, Y.C.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.1
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    • pp.83-88
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    • 2002
  • We study some properties of smooth uniform spaces. We investigate the relationship between smooth topological spaces and smooth uniform spaces. In particular, we define a subspace of a smooth uniform space and a product of smooth uniform spaces.

SMOOTH FUZZY CLOSURE AND TOPOLOGICAL SPACES

  • Kim, Yong Chan
    • Korean Journal of Mathematics
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    • v.7 no.1
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    • pp.11-25
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    • 1999
  • We will define a smooth fuzzy closure space and a subspace of it. We will investigate relationships between smooth fuzzy closure spaces and smooth fuzzy topological spaces. In particular, we will show that a subspace of a smooth fuzzy topological space can be obtained by the subspace of the smooth fuzzy closure space induced by it.

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k- DENTING POINTS AND k- SMOOTHNESS OF BANACH SPACES

  • Wulede, Suyalatu;Shang, Shaoqiang;Bao, Wurina
    • Korean Journal of Mathematics
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    • v.24 no.3
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    • pp.397-407
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    • 2016
  • In this paper, the concepts of k-smoothness, k-very smoothness and k-strongly smoothness of Banach spaces are dealt with together briefly by introducing three types k-denting point regarding different topology of conjugate spaces of Banach spaces. In addition, the characterization of first type ${\omega}^*-k$ denting point is described by using the slice of closed unit ball of conjugate spaces.

WEAK* SMOOTH COMPACTNESS IN SMOOTH TOPOLOGICAL SPACES

  • Park, Chun-Kee;Min, Won Keun;Kim, Myeong Hwan
    • Korean Journal of Mathematics
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    • v.11 no.2
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    • pp.127-136
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    • 2003
  • In this paper we obtain some properties of the weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set in smooth topological spaces and introduce the concepts of several types of $weak^*$ smooth compactness in smooth topological spaces and investigate some of their properties.

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Final Smooth Fuzzy Topologies

  • Kim, Young-Sun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.10 no.2
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    • pp.107-112
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    • 2000
  • We will prove the existence of final smooth fuzzy topological spaces and final smooth fuzzy closure spaces. From this fact we can define quotient spaces of their spaces.

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NEIGHBORHOOD STRUCTURES IN ORDINARY SMOOTH TOPOLOGICAL SPACES

  • Lee, Jeong Gon;Lim, Pyung Ki;Hur, Kul
    • Honam Mathematical Journal
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    • v.34 no.4
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    • pp.559-570
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    • 2012
  • We construct a new definition of a base for ordinary smooth topological spaces and introduce the concept of a neighborhood structure in ordinary smooth topological spaces. Then, we state some of their properties which are generalizations of some results in classical topological spaces.

WEAK* QUASI-SMOOTH α-STRUCTURE OF SMOOTH TOPOLOGICAL SPACES

  • Min, Won Keun;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • v.14 no.2
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    • pp.233-240
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    • 2006
  • In this paper we introduce the concepts of several types of $weak^*$ quasi-smooth ${\alpha}$-compactness in terms of the concepts of weak smooth ${\alpha}$-closure and weak smooth ${\alpha}$-interior of a fuzzy set in smooth topological spaces and investigate some of their properties.

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Some Properties of Product Smooth Fuzzy Topological Spaces

  • Park, Jin-Won
    • Journal of the Korean Institute of Intelligent Systems
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    • v.9 no.6
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    • pp.615-620
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    • 1999
  • We will investigate some properties of product smooth fuzzy topological spaces. We will show that a projection map in product smooth fuzzy topological spaces need not be a fuzzy open map. Furthermore a slice need not be homeomorphic to the coordinate spance which is parallel to it.

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Smooth neighborhood structures

  • Ramadan, A.A.;Kim, Y.C.;El-Gayyar, M.M.
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.2
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    • pp.187-191
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    • 2002
  • In this paper, we introduce the notion of smooth neighborhoods in smooth topological spaces and investigate some of their properties. In particular, we can obtain some smooth topologies from a smooth neighborhood system.