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Invertible Fuzzy Topological Spaces (Paperback, 1st ed. 2022)
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Invertible Fuzzy Topological Spaces (Paperback, 1st ed. 2022)
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This book discusses the invertibility of fuzzy topological spaces
and related topics. Certain types of fuzzy topological spaces are
introduced, and interrelations between them are brought forth.
Various properties of invertible fuzzy topological spaces are
presented, and characterizations for completely invertible fuzzy
topological spaces are discussed. The relationship between
homogeneity and invertibility is examined, and, subsequently, the
orbits in an invertible fuzzy topological space are studied. The
structure of invertible fuzzy topological spaces is investigated,
and a clear picture of the inverting pairs in an invertible fuzzy
topological space is introduced. Further, the related spaces such
as sums, subspaces, simple extensions, quotient spaces, and product
spaces of invertible fuzzy topological spaces are examined. In
addition, the effect of invertibility on fuzzy topological
properties like separation axioms, axioms of countability,
compactness, and fuzzy connectedness in invertible fuzzy
topological spaces is established. The book sketches ideas extended
to the bigger canvas of L-topology in a very interesting manner.
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