Bitopological spaces (Record no. 21812)
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| 000 -LEADER | |
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| fixed length control field | 04823cam a2200697Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162130307 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20141103172225.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cn||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070802s2005 mau ob 001 0 eng d |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | |
| Language of cataloging | eng |
| Transcribing agency | OPELS |
| Modifying agency | BAKER |
| -- | OPELS |
| -- | OCLCQ |
| -- | N$T |
| -- | YDXCP |
| -- | MERUC |
| -- | E7B |
| -- | IDEBK |
| -- | DEBBG |
| -- | TULIB |
| -- | OCLCO |
| -- | OCLCQ |
| -- | OPELS |
| -- | OCLCF |
| 019 ## - | |
| -- | 75956787 |
| -- | 148712939 |
| -- | 441759451 |
| -- | 647545857 |
| -- | 779919521 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780444517937 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0444517936 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0080459463 (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080459462 (electronic bk.) |
| 029 1# - (OCLC) | |
| OCLC library identifier | NZ1 |
| System control number | 12434493 |
| 029 1# - (OCLC) | |
| OCLC library identifier | AU@ |
| System control number | 000048131005 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV039830107 |
| 029 1# - (OCLC) | |
| OCLC library identifier | DEBBG |
| System control number | BV036962238 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162130307 |
| Canceled/invalid control number | (OCoLC)75956787 |
| -- | (OCoLC)148712939 |
| -- | (OCoLC)441759451 |
| -- | (OCoLC)647545857 |
| -- | (OCoLC)779919521 |
| 037 ## - SOURCE OF ACQUISITION | |
| Stock number | 112462:112550 |
| Source of stock number/acquisition | Elsevier Science & Technology |
| Note | http://www.sciencedirect.com |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA611 |
| Item number | .D82 2005eb |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | QA |
| Source | lcco |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | MAT |
| Subject category code subdivision | 038000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514.32 |
| Edition number | 22 |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | TEFA |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Dvalishvili, B. P. |
| 245 10 - TITLE STATEMENT | |
| Title | Bitopological spaces |
| Medium | [electronic resource] : |
| Remainder of title | theory, relations with generalized algebraic structures, and applications / |
| Statement of responsibility, etc. | B.P. Dvalishvili. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam ; |
| -- | Boston : |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | c2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 415 p.) |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies ; |
| Volume/sequential designation | 199 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 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. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references (p. 321-332) and index. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on print version record. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological spaces. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Metric spaces. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Espaces topologiques. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topologie. |
| 650 #6 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Espaces m�etriques. |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | MATHEMATICS |
| General subdivision | Topology. |
| Source of heading or term | bisacsh |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Metric spaces. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01018813 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topological spaces. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01152689 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topology. |
| Source of heading or term | fast |
| Authority record control number | (OCoLC)fst01152692 |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Dvalishvili, B. P. |
| Title | Bitopological spaces. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; Boston : Elsevier, c2005 |
| International Standard Book Number | 0444517936 |
| -- | 9780444517937 |
| Record control number | (OCoLC)57506124 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | North-Holland mathematics studies ; |
| Volume number/sequential designation | 199. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Materials specified | ScienceDirect |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/book/9780444517937">http://www.sciencedirect.com/science/book/9780444517937</a> |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="http://www.sciencedirect.com/science/publication?issn=03040208&volume=199">http://www.sciencedirect.com/science/publication?issn=03040208&volume=199</a> |
| Materials specified | Volltext |
| 938 ## - | |
| -- | Baker & Taylor |
| -- | BKTY |
| -- | 138.00 |
| -- | 138.00 |
| -- | 0444517936 |
| -- | 0006291871 |
| -- | active |
| 938 ## - | |
| -- | YBP Library Services |
| -- | YANK |
| -- | 2489312 |
| 938 ## - | |
| -- | ebrary |
| -- | EBRY |
| -- | ebr10138310 |
| 938 ## - | |
| -- | Ingram Digital eBook Collection |
| -- | IDEB |
| -- | 63099 |
| 938 ## - | |
| -- | EBSCOhost |
| -- | EBSC |
| -- | 166649 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E(electronic)-Books |
| 994 ## - | |
| -- | C0 |
| -- | TEF |
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