• 제목/요약/키워드: Compactifications

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Order Structures of Compactifications in L-fuzzy Topological Spaces

  • Liu, Yingming;Luo, Maokang
    • 한국지능시스템학회논문지
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    • 제2권1호
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    • pp.3-16
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    • 1992
  • In this paper, we establish the conceptes of compactifications of a L-fuzzy topological space and a order relation in these compactifications. This order is a preorder. The existemce problem and the uniqueness problem of the largest compactifications are closely related to the mapping extension problem. We give out the largest compactifications and show the non-uniqueness of the largest compactifications in the preorder for a kind of spaces. Moreover, under some natural assumptions of separation axioms, we prove that the preorder is just a partial order, thus it ensures the uniqueness of the largest compactification. In addition. the related discussion involves the special properties of fuzzy product space, the latter seems to be independent interesting.

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HOMOTOPIC EXTENSION OF HOMOTOPIC MAPS ON ESH-COMPACTIFICATIONS

  • Srivastava, Anjali
    • 충청수학회지
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    • 제18권1호
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    • pp.81-86
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    • 2005
  • In this paper, we consider locally compact Hausdorff spaces having the closed unit interval of the real line as the remainder for an ESH-compactification and obtain that in the class of compact maps the extensions of homotopic maps on the respective ESH-compactifications remain homotopic under certain conditions.

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THE REPEATED ENVELOPING SEMIGROUP COMPACTIFICATIONS

  • FATTAHI, A.;MILNES, P.
    • 호남수학학술지
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    • 제24권1호
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    • pp.87-91
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    • 2002
  • This note consists of some efficient examples to support the notion of enveloping semigroup compactification and also employ this notion to obtain the universal reductive compactification.

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