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

By Badri Dvalishvili

This monograph is the 1st and an preliminary advent to the idea of bitopological areas and its purposes. particularly, varied households of subsets of bitopological areas are brought and diverse relatives among topologies are analyzed on one and an identical set; the speculation of measurement of bitopological areas and the idea of Baire bitopological areas are built, and numerous periods of mappings of bitopological areas are studied. The formerly identified effects in addition the implications acquired during this monograph are utilized in research, capability concept, basic topology, and idea of ordered topological areas. additionally, a excessive point of recent wisdom of bitopological areas concept has made it attainable to introduce and learn algebra of recent sort, the corresponding illustration of which brings one to the specified category of bitopological areas.
It is past any doubt that during the closest destiny the parts of crucial functions often is the theories of linear topological areas and topological teams, algebraic and differential topologies, the homotopy thought, let alone different primary parts of contemporary arithmetic similar to geometry, mathematical common sense, the likelihood idea 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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