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Invertible L-Topological Spaces

In: Invertible Fuzzy Topological Spaces

Author

Listed:
  • Anjaly Jose

    (St. Joseph’s College Devagiri, Department of Mathematics)

  • Sunil C. Mathew

    (Deva Matha College Kuravilangad, Department of Mathematics)

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.

Suggested Citation

  • Anjaly Jose & Sunil C. Mathew, 2022. "Invertible L-Topological Spaces," Springer Books, in: Invertible Fuzzy Topological Spaces, chapter 0, pages 73-91, Springer.
    • Handle: RePEc:spr:sprchp:978-981-19-3689-0_7
    DOI: 10.1007/978-981-19-3689-0_7
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