Bitopological spaces : [Book] theory, relations with generalized algebraic structures, and applications / B.P. Dvalishvili
Material type: TextSeries: North-Holland mathematics studies ; 199Publication details: Boston : Boston : Elsevier, c2005Edition: First editionDescription: xiii, 415 pages : 24 cmISBN:- 0444517936 (hardback)
- 514.32
- 514.32
Item type | Current library | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Books | Junaid Zaidi Library, COMSATS University Islamabad Ground Floor | 514.32 DVA-B (Browse shelf(Opens below)) | Available | 57739 |
Browsing Junaid Zaidi Library, COMSATS University Islamabad shelves, Shelving location: Ground Floor Close shelf browser (Hides shelf browser)
No cover image available | No cover image available | |||||||
514.3 KUR-I Introduction to set theory and topology. | 514.3 KUR-I Introduction to set theory and topology. | 514.3 STE-C Counterexamples in topology | 514.32 DVA-B Bitopological spaces : theory, relations with generalized algebraic structures, and applications / | 514.32 JAI-M Metric spaces | 514.32 PAN-M Metric space | 514.32 PAN-M Metric space |
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 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.
All.
There are no comments on this title.