θ-Compactness in L-topological spaces

I.M. Hanafy

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 3006-3012

Abstract: Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and e∞ theory. In 2005, Caldas and Jafari have introduced θ-compact fuzzy topological spaces. In this paper, the concepts ofθ-compactness, countableθ-compactness and theθ-Lindelöf property are introduced and studied in L-topological spaces, where L is a complete de Morgan algebra. They are defined by means ofθ-openL-sets and their inequalities. They does not rely on the structure of basis lattice L and no distributivity in L is required. They can also be characterized byθ-closedL-sets and their inequalities. When L is a completely de Morgan algebra, their many characterizations are presented.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:3006-3012

DOI: 10.1016/j.chaos.2009.04.042

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