Proximity spaces:
This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to fundamentals, the main...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1970
|
| Schriftenreihe: | Cambridge tracts in mathematics
59 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to fundamentals, the main result being the proof of the existence of the Smirnov compactification using clusters. Chapter 3 discusses the interrelationships between proximity spaces and uniform spaces and contains some of the most interesting results in the theory of proximity spaces. The final chapter introduces the reader to several generalised forms of proximity structures and studies one of them in detail. The bibliography contains over 130 references to the scattered research literature on proximity spaces, in addition to general references |
| Beschreibung: | 1 Online-Ressource (x, 128 Seiten) |
| ISBN: | 9780511569364 |
| DOI: | 10.1017/CBO9780511569364 |
Internformat
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| 490 | 0 | |a Cambridge tracts in mathematics |v 59 | |
| 520 | |a This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to fundamentals, the main result being the proof of the existence of the Smirnov compactification using clusters. Chapter 3 discusses the interrelationships between proximity spaces and uniform spaces and contains some of the most interesting results in the theory of proximity spaces. The final chapter introduces the reader to several generalised forms of proximity structures and studies one of them in detail. The bibliography contains over 130 references to the scattered research literature on proximity spaces, in addition to general references | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Naimpally, Somashekhara Amrita 1931-2014 |
| author_GND | (DE-588)1121320910 (DE-588)170961699 |
| author_facet | Naimpally, Somashekhara Amrita 1931-2014 |
| author_role | aut |
| author_sort | Naimpally, Somashekhara Amrita 1931-2014 |
| author_variant | s a n sa san |
| building | Verbundindex |
| bvnumber | BV043942288 |
| classification_rvk | SK 290 SK 280 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511569364 (OCoLC)890807182 (DE-599)BVBBV043942288 |
| dewey-full | 514.323 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.323 |
| dewey-search | 514.323 |
| dewey-sort | 3514.323 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511569364 |
| format | Electronic eBook |
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| id | DE-604.BV043942288 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511569364 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351257 |
| oclc_num | 890807182 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (x, 128 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Naimpally, Somashekhara Amrita 1931-2014 Verfasser (DE-588)1121320910 aut Proximity spaces S.A. Naimpally and B.D. Warrack Cambridge Cambridge University Press 1970 1 Online-Ressource (x, 128 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 59 This tract provides a compact introduction to the theory of proximity spaces and their generalisations, making the subject accessible to readers having a basic knowledge of topological and uniform spaces, such as can be found in standard textbooks. Two chapters are devoted to fundamentals, the main result being the proof of the existence of the Smirnov compactification using clusters. Chapter 3 discusses the interrelationships between proximity spaces and uniform spaces and contains some of the most interesting results in the theory of proximity spaces. The final chapter introduces the reader to several generalised forms of proximity structures and studies one of them in detail. The bibliography contains over 130 references to the scattered research literature on proximity spaces, in addition to general references Proximity spaces Nachbarschaftsraum (DE-588)4470226-7 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 s DE-604 Nachbarschaftsraum (DE-588)4470226-7 s Topologie (DE-588)4060425-1 s Warrack, Brian 1943-2017 Sonstige (DE-588)170961699 oth Erscheint auch als Druck-Ausgabe 978-0-521-07935-8 Erscheint auch als Druck-Ausgabe 978-0-521-09183-1 https://doi.org/10.1017/CBO9780511569364 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Naimpally, Somashekhara Amrita 1931-2014 Proximity spaces Proximity spaces Nachbarschaftsraum (DE-588)4470226-7 gnd Topologischer Raum (DE-588)4137586-5 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4470226-7 (DE-588)4137586-5 (DE-588)4060425-1 |
| title | Proximity spaces |
| title_auth | Proximity spaces |
| title_exact_search | Proximity spaces |
| title_full | Proximity spaces S.A. Naimpally and B.D. Warrack |
| title_fullStr | Proximity spaces S.A. Naimpally and B.D. Warrack |
| title_full_unstemmed | Proximity spaces S.A. Naimpally and B.D. Warrack |
| title_short | Proximity spaces |
| title_sort | proximity spaces |
| topic | Proximity spaces Nachbarschaftsraum (DE-588)4470226-7 gnd Topologischer Raum (DE-588)4137586-5 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Proximity spaces Nachbarschaftsraum Topologischer Raum Topologie |
| url | https://doi.org/10.1017/CBO9780511569364 |
| work_keys_str_mv | AT naimpallysomashekharaamrita proximityspaces AT warrackbrian proximityspaces |