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|a 9781139208666 (ebook)
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|z 9781107026858 (hardback)
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|b .K356 2013
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|a 511.322
|2 23
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| 100 |
1 |
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|a Kanoveĭ, V. G.
|q (Vladimir Grigorʹevich),
|e author.
|0 http://id.loc.gov/authorities/names/n85358241
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| 245 |
1 |
0 |
|a Canonical Ramsey theory on Polish spaces /
|c Vladimir Kanovei, Marcin Sabok, Jindřich Zapletal.
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| 264 |
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1 |
|a Cambridge :
|b Cambridge University Press,
|c 2013.
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| 300 |
|
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|a 1 online resource (viii, 269 pages) :
|b digital, PDF file(s).
|
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|a online resource
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| 490 |
1 |
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|a Cambridge tracts in mathematics ;
|v 202
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| 500 |
|
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|a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
|
| 505 |
0 |
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|a Introduction -- 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.
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| 520 |
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|a This 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 |
|a Set theory.
|0 http://id.loc.gov/authorities/subjects/sh85120387
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| 650 |
|
0 |
|a Ramsey theory.
|0 http://id.loc.gov/authorities/subjects/sh85111302
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| 650 |
|
0 |
|a Polish spaces (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh91000874
|
| 700 |
1 |
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|a Sabok, Marcin,
|e author.
|0 http://id.loc.gov/authorities/names/nb2013020449
|
| 700 |
1 |
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|a Zapletal, Jindřich,
|d 1969-
|e author.
|0 http://id.loc.gov/authorities/names/n2003013917
|
| 776 |
0 |
8 |
|i Print version:
|a Kanoveĭ, V. G. (Vladimir Grigorʹevich)
|t Canonical Ramsey theory on Polish spaces
|z 9781107026858.
|
| 830 |
|
0 |
|a Cambridge tracts in mathematics ;
|v 202.
|0 http://id.loc.gov/authorities/names/n42005726
|
| 856 |
4 |
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|a Michigan State University-Library of Michigan
|b Michigan State University
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