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008 070802s2005    mau     sb    001 0 eng d
020   $a9780444517937
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035   $ab13658670-39ule_inst
040   $aDip.to Matematica$beng
082 04$a514.32$222
100 1 $aDvalishvili, B. P.$0622800
245 10$aBitopological spaces$h[e-book] :$btheory, relations with generalized algebraic structures, and applications /$cB.P. Dvalishvili
260   $aAmsterdam ;$aBoston :$bElsevier,$cc2005
300   $axiii, 415 p. ;$c25 cm
490 1 $aNorth-Holland mathematics studies ;$v199
504   $aIncludes bibliographical references (p. 321-332) and index
505 0 $aPreface ; Chapter 0: Preliminaries ; Chapter I: Different Families of Sets in Bitopological Spaces ; Chapter II: Different Relations between Two Topologies on a Set and Bitopological Insertions ; Chapter III: Dimension of Bitopological Spaces ; Chapter IV: Baire-Like Properties of Bitopological Spaces ; Chapter V: Dynamics of Bitopological Relations, Baire-Like Properties and Dimensions ; Chapter VI: Generalized Boolean Algebras and Related Problems. Representation Theorems ; Chapter VII: Applications of Bitopologies ; Bibliography ; List of Special Symbols and Notations ; Index
520   $aThis monograph is the first and an initial introduction to the theory of bitopological spaces and its applications. In particular, different families of subsets of bitopological spaces are introduced and various relations between two topologies are analyzed on one and the same set; the theory of dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of mappings of bitopological spaces are studied. The previously known results as well the results obtained in this monograph are applied in analysis, potential theory, general topology, and theory of ordered topological spaces. Moreover, a high level of modern knowledge of bitopological spaces theory has made it possible to introduce and study algebra of new type, the corresponding representation of which brings one to the special class of bitopological spaces. It is beyond any doubt that in the nearest future the areas of essential applications will be the theories of linear topological spaces and topological groups, algebraic and differential topologies, the homotopy theory, not to mention other fundamental areas of modern mathematics such as geometry, mathematical logic, the probability theory and many other areas, including those of applied nature. Key Features: - First monograph is "Generalized Lattices" * The first introduction to the theory of bitopological spaces and its applications.
533   $aElectronic reproduction.$bAmsterdam :$cElsevier Science & Technology,$d2007.$nMode of access: World Wide Web.$nSystem requirements: Web browser.$nTitle from title screen (viewed on July 25, 2007).$nAccess may be restricted to users at subscribing institutions.
650  0$aTopological spaces
650  0$aTopology
650  0$aMetric spaces
856 40$3ScienceDirect$uhttps://www.sciencedirect.com/bookseries/north-holland-mathematics-studies/vol/199/suppl/C$zAn electronic book accessible through the World Wide Web; click for information
907   $a.b13658670$b03-03-22$c29-01-08
912   $a991003272299707536
996   $aBitopological spaces$91092430
997   $aUNISALENTO
998   $ale013$b29-01-08$cm$d@  $e-$feng$gmau$h0$i0