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

Author: B P Dvalishvili
Publisher: Amsterdam ; Boston : Elsevier, ©2005.
Series: North-Holland mathematics studies, 199.
Edition/Format:   eBook : Document : English : 1st edView all editions and formats
Summary:
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 dimension of bitopological spaces and the theory of Baire bitopological spaces are constructed, and various classes of  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Dvalishvili, B.P.
Bitopological spaces.
Amsterdam ; Boston : Elsevier, ©2005
(OCoLC)57506124
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: B P Dvalishvili
ISBN: 9780444517937 0444517936 0080459463 9780080459462
OCLC Number: 162130307
Description: 1 online resource (xiii, 415 pages).
Contents: 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.
Series Title: North-Holland mathematics studies, 199.
Responsibility: B.P. Dvalishvili.

Abstract:

An introduction to the theory of bitopological spaces and its applications. It presents different families of subsets of bitopological spaces and various relations between two topologies are analyzed  Read more...

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