Badri Dvalishvili's Bitopological Spaces: Theory, Relations with Generalized PDF

By Badri Dvalishvili

ISBN-10: 0444517936

ISBN-13: 9780444517937

This monograph is the 1st and an preliminary creation to the idea of bitopological areas and its functions. specifically, assorted households of subsets of bitopological areas are brought and diverse family members among topologies are analyzed on one and an analogous set; the speculation of measurement of bitopological areas and the idea of Baire bitopological areas are developed, and diverse periods of mappings of bitopological areas are studied. The formerly recognized effects to boot the implications received during this monograph are utilized in research, strength conception, normal topology, and idea of ordered topological areas. furthermore, a excessive point of contemporary wisdom of bitopological areas conception has made it attainable to introduce and examine algebra of recent style, the corresponding illustration of which brings one to the distinct type of bitopological areas.
It is past any doubt that during the closest destiny the parts of crucial functions could be the theories of linear topological areas and topological teams, algebraic and differential topologies, the homotopy thought, let alone different primary components of contemporary arithmetic corresponding to geometry, mathematical common sense, the likelihood concept and lots of different parts, together with these of utilized nature.

Key Features:

- First monograph is "Generalized Lattices"

* the 1st creation to the speculation of bitopological areas and its applications.

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Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures and Applications (North-Holland Mathematics Studies) by Badri Dvalishvili

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