• Journal of the Korean Institute of Intelligent Systems
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• v.2 no.1
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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.

• Journal of the Chungcheong Mathematical Society
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• v.18 no.1
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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.

• East Asian mathematical journal
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• v.10 no.2
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• pp.359-362
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• 1994

• Kyungpook Mathematical Journal
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• v.19 no.2
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• pp.151-158
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• 1979

• East Asian mathematical journal
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• v.6 no.1
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• pp.1-8
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• 1990

• Journal of the Korean Mathematical Society
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• v.6 no.1
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• pp.37-40
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• 1969

• Bulletin of the Korean Mathematical Society
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• v.11 no.1
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• pp.19-21
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• 1974

• Kyungpook Mathematical Journal
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• v.11 no.2
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• pp.189-194
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• 1971

• Honam Mathematical Journal
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• v.24 no.1
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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.

• Honam Mathematical Journal
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• v.37 no.3
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• pp.287-297
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• 2015

In this paper, we investigate $T_1$ Boolean subalgebras of the Boolean algebra consisting all regular closed sets in a space and their Wallman covers. In particular, we will give sufficient and necessary conditions of spaces X satisfying ${\beta}E_{cc}(X)=E_{cc}({\beta}X)$.