Chain conditions in topology:
A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, can one always extract...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
1982
|
| Series: | Cambridge tracts in mathematics
79 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| Summary: | A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, can one always extract an uncountable subfamily with the finite intersection property. This monograph, which is partly fresh research and partly expository (in the sense that the authors co-ordinate and unify disparate results obtained in several different countries over a period of several decades) is devoted to the systematic use of infinitary combinatorial methods in topology to obtain results concerning chain conditions. The combinatorial tools developed by P. Erdös and the Hungarian school, by Erdös and Rado in the 1960s and by the Soviet mathematician Shanin in the 1940s, are adequate to handle many natural questions concerning chain conditions in product spaces |
| Physical Description: | 1 Online-Ressource (xiii, 300 Seiten) |
| ISBN: | 9780511897337 |
| DOI: | 10.1017/CBO9780511897337 |
Staff View
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511897337 |
| language | English |
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| publishDate | 1982 |
| publishDateSearch | 1982 |
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| publisher | Cambridge University Press |
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| series2 | Cambridge tracts in mathematics |
| spelling | Comfort, William Wistar 1933- Verfasser (DE-588)1071083821 aut Chain conditions in topology W.W. Comfort, S. Negrepontis Cambridge Cambridge University Press 1982 1 Online-Ressource (xiii, 300 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 79 A chain condition is a property, typically involving considerations of cardinality, of the family of open subsets of a topological space. (Sample questions: (a) How large a fmily of pairwise disjoint open sets does the space admit? (b) From an uncountable family of open sets, can one always extract an uncountable subfamily with the finite intersection property. This monograph, which is partly fresh research and partly expository (in the sense that the authors co-ordinate and unify disparate results obtained in several different countries over a period of several decades) is devoted to the systematic use of infinitary combinatorial methods in topology to obtain results concerning chain conditions. The combinatorial tools developed by P. Erdös and the Hungarian school, by Erdös and Rado in the 1960s and by the Soviet mathematician Shanin in the 1940s, are adequate to handle many natural questions concerning chain conditions in product spaces Topology Topological spaces Combinatorial analysis Topologie (DE-588)4060425-1 gnd rswk-swf Kettenbedingung (DE-588)4163685-5 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 s DE-604 Topologie (DE-588)4060425-1 s Kettenbedingung (DE-588)4163685-5 s Negrepontēs, Stylianos ca. 20./21. Jh. Sonstige (DE-588)1057980986 oth Erscheint auch als Druck-Ausgabe 978-0-521-23487-0 Erscheint auch als Druck-Ausgabe 978-0-521-09062-9 https://doi.org/10.1017/CBO9780511897337 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Comfort, William Wistar 1933- Chain conditions in topology Topology Topological spaces Combinatorial analysis Topologie (DE-588)4060425-1 gnd Kettenbedingung (DE-588)4163685-5 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4163685-5 (DE-588)4137586-5 |
| title | Chain conditions in topology |
| title_auth | Chain conditions in topology |
| title_exact_search | Chain conditions in topology |
| title_full | Chain conditions in topology W.W. Comfort, S. Negrepontis |
| title_fullStr | Chain conditions in topology W.W. Comfort, S. Negrepontis |
| title_full_unstemmed | Chain conditions in topology W.W. Comfort, S. Negrepontis |
| title_short | Chain conditions in topology |
| title_sort | chain conditions in topology |
| topic | Topology Topological spaces Combinatorial analysis Topologie (DE-588)4060425-1 gnd Kettenbedingung (DE-588)4163685-5 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Topology Topological spaces Combinatorial analysis Topologie Kettenbedingung Topologischer Raum |
| url | https://doi.org/10.1017/CBO9780511897337 |
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