| 000 | 02615nam a22003978i 4500 | ||
|---|---|---|---|
| 001 | CR9781139208666 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160240.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 111208s2013||||enk o ||1 0|eng|d | ||
| 020 | _a9781139208666 (ebook) | ||
| 020 | _z9781107026858 (hardback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 4 |
_aQA248 _b.K356 2013 |
| 082 | 0 | 4 |
_a511.322 _223 |
| 100 | 1 |
_aKanoveĭ, V. G. _q(Vladimir Grigorʹevich), _eauthor. |
|
| 245 | 1 | 0 |
_aCanonical Ramsey theory on Polish spaces / _cVladimir Kanovei, Marcin Sabok, Jindřich Zapletal. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2013. |
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| 300 |
_a1 online resource (viii, 269 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge tracts in mathematics ; _v202 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aIntroduction -- Background facts -- Analytic equivalence relations and models of set theory --Classes of equivalence relations -- Games and the Silver property -- The game ideals -- Benchmark equivalence relations -- Ramsey-type ideals -- Product-type ideals -- The countable support iteration ideals. | |
| 520 | _aThis book lays the foundations for an exciting new area of research in descriptive set theory. It develops a robust connection between two active topics: forcing and analytic equivalence relations. This in turn allows the authors to develop a generalization of classical Ramsey theory. Given an analytic equivalence relation on a Polish space, can one find a large subset of the space on which it has a simple form? The book provides many positive and negative general answers to this question. The proofs feature proper forcing and Gandy-Harrington forcing, as well as partition arguments. The results include strong canonization theorems for many classes of equivalence relations and sigma-ideals, as well as ergodicity results in cases where canonization theorems are impossible to achieve. Ideal for graduate students and researchers in set theory, the book provides a useful springboard for further research. | ||
| 650 | 0 | _aSet theory. | |
| 650 | 0 | _aRamsey theory. | |
| 650 | 0 | _aPolish spaces (Mathematics) | |
| 700 | 1 |
_aSabok, Marcin, _eauthor. |
|
| 700 | 1 |
_aZapletal, Jindřich, _d1969- _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9781107026858 |
| 830 | 0 |
_aCambridge tracts in mathematics ; _v202. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781139208666 |
| 999 |
_c518488 _d518486 |
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