Bitopological Spaces: Theory, Relations with Generalized by B. P. Dvalishvili

By B. P. Dvalishvili

This monograph is the 1st and an preliminary advent to the speculation of bitopological areas and its purposes. particularly, assorted households of subsets of bitopological areas are brought and diverse kin among topologies are analyzed on one and an analogous set; the idea of size of bitopological areas and the speculation of Baire bitopological areas are developed, and diverse sessions of mappings of bitopological areas are studied. The formerly identified effects to boot the implications received during this monograph are utilized in research, power idea, basic topology, and concept of ordered topological areas. furthermore, a excessive point of recent wisdom of bitopological areas idea has made it attainable to introduce and learn algebra of recent sort, the corresponding illustration of which brings one to the exact classification of bitopological areas. it's past any doubt that during the closest destiny the components of crucial functions could be the theories of linear topological areas and topological teams, algebraic and differential topologies, the homotopy concept, let alone different basic parts of recent arithmetic comparable to geometry, mathematical common sense, the chance thought and plenty of different parts, together with these of utilized nature. Key positive factors: - First monograph is "Generalized Lattices" * the 1st advent to the idea of bitopological areas and its purposes.

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