Invertible fuzzy topological spaces / Anjaly Jose, Sunil C. Mathew.

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Invertible fuzzy topological spaces / Anjaly Jose, Sunil C. Mathew.

9789811936890 (electronic bk.)
9811936897 (electronic bk.)
9811936889
9789811936883

Singapore : Springer, [2022]

©2022

English

1 online resource (xi, 96 pages) : illustrations

10.1007/978-981-19-3689-0 doi

QA611.2

514/.322

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.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed September 14, 2022).

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