Connectedness and local connectedness in Lowen spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2007 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 158, pages 85-98 (issn: 0165-0114,

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Authors: Sheng-Gang Li;

doi: 10.1016/j.fss.2006.07.008

Connectedness and local connectedness in Lowen spaces

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Abstract

The author introduces a fuzzy connectedness axiom as follows: An \(L\)-subset \(A\in L^X\) is said to be connected in an \(L\)-Lowen space if \(^{\iota}_p(A)\) is a connected set in \((X,^{\iota}_p(\delta))\), where \(^{\iota}_p(A)=\{x\in X\mid p\vartriangleleft A(x)\}\). Based on the above notion, a corresponding motion of fuzzy local connectedness is defined. Some related categorical results are obtained.

Related Organizations

Shaanxi Normal University
China (People's Republic of)

Keywords

Connected and locally connected spaces (general aspects), Lowen space, Fuzzy topology, the fuzzy unit interval, \(L\)-topology, connectedness, local connectedness

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