Bitopological Spaces Theory, Relations with Generalized Algebraic Structures and Applications
| Author/creator | Dvalishvili, Badri Author |
| Other author | van Mill, Jan Contribution by |
| Format | Electronic |
| Publication Info | North Holland [Imprint] San Diego : Elsevier Science & Technology Books |
| Description | 422 p. 09.450 x 06.500 in. |
| Supplemental Content | Full text available from eBook - Mathematics pre-2007 |
| Subjects |
| Series | North-Holland Mathematical Studies |
| Summary | Annotation 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.<br />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.<br /><br />Key Features:<br /><br />- First monograph is "Generalized Lattices"<br /><br />* The first introduction to the theory of bitopological spaces and its applications. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| ISBN | 9780444517937 |
| ISBN | 0444517936 (Trade Cloth) Active Record |
| Standard identifier# | 9780444517937 |
| Stock number | 00991439 |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |