Bitopological Spaces: Theory, Relations with Generalized by Badri Dvalishvili

By Badri Dvalishvili

This monograph is the 1st and an preliminary advent to the idea of bitopological areas and its purposes. specifically, various households of subsets of bitopological areas are brought and diverse family members among topologies are analyzed on one and an identical set; the speculation of measurement of bitopological areas and the speculation of Baire bitopological areas are built, and numerous periods of mappings of bitopological areas are studied. The formerly recognized effects to boot the consequences got during this monograph are utilized in research, capability thought, basic topology, and concept of ordered topological areas. in addition, a excessive point of contemporary wisdom of bitopological areas thought has made it attainable to introduce and examine algebra of recent sort, the corresponding illustration of which brings one to the distinct category 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 conception, let alone different basic components of recent arithmetic akin to geometry, mathematical good judgment, the chance concept and plenty of different parts, together with these of utilized nature.

Key Features:

- First monograph is "Generalized Lattices"

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

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