Introduction to Ramsey spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2010]
|
| Schriftenreihe: | Annals of Mathematics Studies
number 174 |
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Beschreibung: | Main description: Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory |
| Beschreibung: | 1 Online-Ressource (296 S.) |
| ISBN: | 9781400835409 |
| DOI: | 10.1515/9781400835409 |
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Datensatz im Suchindex
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| author | Todorcevic, Stevo 1965- |
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| author_facet | Todorcevic, Stevo 1965- |
| author_role | aut |
| author_sort | Todorcevic, Stevo 1965- |
| author_variant | s t st |
| building | Verbundindex |
| bvnumber | BV042522708 |
| classification_rvk | SK 170 |
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| ctrlnum | (OCoLC)839032558 (DE-599)BVBBV042522708 |
| dewey-full | 511/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.5 |
| dewey-search | 511/.5 |
| dewey-sort | 3511 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400835409 |
| format | Electronic eBook |
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| spelling | Todorcevic, Stevo 1965- (DE-588)115235620 aut Introduction to Ramsey spaces Princeton, N.J. Princeton University Press [2010] © 2010 1 Online-Ressource (296 S.) txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 174 Main description: Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of Ramsey theory dealing with Ramsey-type phenomena in higher dimensions is particularly useful. Introduction to Ramsey Spaces presents in a systematic way a method for building higher-dimensional Ramsey spaces from basic one-dimensional principles. It is the first book-length treatment of this area of Ramsey theory, and emphasizes applications for related and surrounding fields of mathematics, such as set theory, combinatorics, real and functional analysis, and topology. In order to facilitate accessibility, the book gives the method in its axiomatic form with examples that cover many important parts of Ramsey theory both finite and infinite. An exciting new direction for combinatorics, this book will interest graduate students and researchers working in mathematical subdisciplines requiring the mastery and practice of high-dimensional Ramsey theory Ramsey-Theorie (DE-588)4212682-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Ramsey-Theorie (DE-588)4212682-4 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-691-14541-9 Annals of Mathematics Studies number 174 (DE-604)BV040389493 174 https://doi.org/10.1515/9781400835409?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400835409&searchTitles=true Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Todorcevic, Stevo 1965- Introduction to Ramsey spaces Annals of Mathematics Studies Ramsey-Theorie (DE-588)4212682-4 gnd |
| subject_GND | (DE-588)4212682-4 (DE-588)4123623-3 |
| title | Introduction to Ramsey spaces |
| title_auth | Introduction to Ramsey spaces |
| title_exact_search | Introduction to Ramsey spaces |
| title_full | Introduction to Ramsey spaces |
| title_fullStr | Introduction to Ramsey spaces |
| title_full_unstemmed | Introduction to Ramsey spaces |
| title_short | Introduction to Ramsey spaces |
| title_sort | introduction to ramsey spaces |
| topic | Ramsey-Theorie (DE-588)4212682-4 gnd |
| topic_facet | Ramsey-Theorie Lehrbuch |
| url | https://doi.org/10.1515/9781400835409?locatt=mode:legacy http://www.degruyter.com/search?f_0=isbnissn&q_0=9781400835409&searchTitles=true |
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