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| 001 | ocn162130307 | ||
| 003 | OCoLC | ||
| 005 | 20141103172225.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 070802s2005 mau ob 001 0 eng d | ||
| 040 |
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| 020 | _a9780444517937 | ||
| 020 | _a0444517936 | ||
| 020 | _a0080459463 (electronic bk.) | ||
| 020 | _a9780080459462 (electronic bk.) | ||
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| 037 |
_a112462:112550 _bElsevier Science & Technology _nhttp://www.sciencedirect.com |
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_aQA611 _b.D82 2005eb |
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| 082 | 0 | 4 |
_a514.32 _222 |
| 049 | _aTEFA | ||
| 100 | 1 | _aDvalishvili, B. P. | |
| 245 | 1 | 0 |
_aBitopological spaces _h[electronic resource] : _btheory, relations with generalized algebraic structures, and applications / _cB.P. Dvalishvili. |
| 250 | _a1st ed. | ||
| 260 |
_aAmsterdam ; _aBoston : _bElsevier, _cc2005. |
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| 300 | _a1 online resource (xiii, 415 p.) | ||
| 490 | 1 |
_aNorth-Holland mathematics studies ; _v199 |
|
| 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. | ||
| 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. | |
| 504 | _aIncludes bibliographical references (p. 321-332) and index. | ||
| 588 | _aDescription based on print version record. | ||
| 650 | 0 | _aTopological spaces. | |
| 650 | 0 | _aTopology. | |
| 650 | 0 | _aMetric spaces. | |
| 650 | 6 | _aEspaces topologiques. | |
| 650 | 6 | _aTopologie. | |
| 650 | 6 | _aEspaces m�etriques. | |
| 650 | 7 |
_aMATHEMATICS _xTopology. _2bisacsh |
|
| 650 | 7 |
_aMetric spaces. _2fast _0(OCoLC)fst01018813 |
|
| 650 | 7 |
_aTopological spaces. _2fast _0(OCoLC)fst01152689 |
|
| 650 | 7 |
_aTopology. _2fast _0(OCoLC)fst01152692 |
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| 655 | 4 | _aElectronic books. | |
| 776 | 0 | 8 |
_iPrint version: _aDvalishvili, B. P. _tBitopological spaces. _b1st ed. _dAmsterdam ; Boston : Elsevier, c2005 _z0444517936 _z9780444517937 _w(OCoLC)57506124 |
| 830 | 0 |
_aNorth-Holland mathematics studies ; _v199. |
|
| 856 | 4 | 0 |
_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444517937 |
| 856 | 4 |
_uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=199 _3Volltext |
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