Bitopological spaces : (Record no. 522840)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04089cam a2200553Ia 4500 |
| 001 - CONTROL NUMBER | |
| control field | ocn162130307 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OCoLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20180529113344.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 070802s2005 mau ob 001 0 eng d |
| 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 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780080459462 |
| Qualifying information | (electronic bk.) |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)162130307 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | DLC |
| Language of cataloging | eng |
| Transcribing agency | DLC |
| Modifying agency | AU |
| 049 ## - LOCAL HOLDINGS (OCLC) | |
| Holding library | Alfaisal Main Library |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA611 |
| Item number | .D82 2005eb |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Dvalishvili, B. P. |
| 245 10 - TITLE STATEMENT | |
| Title | Bitopological spaces : |
| 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 | ©2005. |
| 264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Date of production, publication, distribution, manufacture | ©2005. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (xiii, 415 pages). |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | North-Holland mathematics studies ; |
| Volume number/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 (pages 321-332) and index. |
| 588 0# - | |
| -- | Print version record. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Elsevier |
| Provenance (VM) [OBSOLETE] | ScienceDirect All Books |
| 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 métriques. |
| 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 |
| -- | (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 |
| -- | (OCoLC)fst01152689 |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Topology. |
| Source of heading or term | fast |
| -- | (OCoLC)fst01152692 |
| 655 #7 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| Source of term | local |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | ScienceDirect eBooks. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| Main entry heading | Dvalishvili, B.P. |
| Title | Bitopological spaces. |
| Edition | 1st ed. |
| Place, publisher, and date of publication | Amsterdam ; Boston : Elsevier, ©2005 |
| 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 | |
| Uniform Resource Identifier | <a href="http://ezproxy.alfaisal.edu/login?url=https://www.sciencedirect.com/science/bookseries/03040208/199">http://ezproxy.alfaisal.edu/login?url=https://www.sciencedirect.com/science/bookseries/03040208/199</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Koha item type | eBooks |
No items available.