Download E-books Bitopological Spaces: Theory, Relations with Generalized Algebraic Structures, and Applications PDF

By B. P. Dvalishvili

This monograph is the 1st and an preliminary advent to the idea of bitopological areas and its functions. specifically, various households of subsets of bitopological areas are brought and diverse kinfolk among topologies are analyzed on one and an identical set; the speculation of size of bitopological areas and the idea of Baire bitopological areas are built, and numerous periods of mappings of bitopological areas are studied. The formerly recognized effects to boot the consequences acquired during this monograph are utilized in research, strength thought, normal topology, and concept of ordered topological areas. furthermore, a excessive point of contemporary wisdom of bitopological areas concept has made it attainable to introduce and examine algebra of latest sort, the corresponding illustration of which brings one to the designated category of bitopological areas. it truly is past any doubt that during the closest destiny the components of crucial purposes often is the theories of linear topological areas and topological teams, algebraic and differential topologies, the homotopy conception, let alone different primary parts of contemporary arithmetic resembling geometry, mathematical common sense, the likelihood conception and lots of different components, together with these of utilized nature. Key positive aspects: - First monograph is "Generalized Lattices"

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