Invertible L-Topological Spaces

Anjaly Jose () and Sunil C. Mathew
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Anjaly Jose: St. Joseph’s College Devagiri, Department of Mathematics
Sunil C. Mathew: Deva Matha College Kuravilangad, Department of Mathematics

Chapter Chapter 7 in Invertible Fuzzy Topological Spaces, 2022, pp 73-91 from Springer

Abstract: Abstract This chapter extends the concept of invertibility to L-topological spaces and obtains certain properties of invertible L-topological spaces. It has been proved that stratifization preserves invertibility of an L-topological space. Further, certain properties of inverting pairs are investigated. The completely invertible L-topological spaces are introduced and pinpoint some of their characteristics. Finally, we introduce two different types of invertible L-topological spaces and study their properties in relation to sums, subspaces and simple extensions. The relationship between invertibility and countability axioms in L-topological spaces is investigated. In this direction, we prove that first countable, second countable and separable properties of certain subspaces are transferable to the parent L-topological space with the help of invertibility. Further the effect of invertibility on the separation axioms in L-topological spaces is investigated and certain local to global properties of invertible L-topologies are obtained.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-19-3689-0_7

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DOI: 10.1007/978-981-19-3689-0_7

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