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Bitopological spaces : theory, relations with generalized algebraic structures, and applications /

This 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 dim...

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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Dvalishvili, B. P.
Format: Électronique eBook
Langue:Inglés
Publié: Amsterdam ; Boston : Elsevier, �2005.
Édition:1st ed.
Collection:North-Holland mathematics studies ; 199.
Sujets:
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Table des matières:
  • Preface
  • 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.