Download PDF by Vladimir Kanovei,Marcin Sabok,Jindřich Zapletal: Canonical Ramsey Theory on Polish Spaces (Cambridge Tracts

By Vladimir Kanovei,Marcin Sabok,Jindřich Zapletal

ISBN-10: 1107026857

ISBN-13: 9781107026858

This booklet lays the principles for an exhilarating new zone of analysis in descriptive set concept. It develops a strong connection among energetic themes: forcing and analytic equivalence kinfolk. This in flip permits the authors to boost a generalization of classical Ramsey thought. Given an analytic equivalence relation on a Polish house, can one discover a huge subset of the gap on which it has an easy shape? The booklet offers many optimistic and adverse common solutions to this question. The proofs function right forcing and Gandy–Harrington forcing, in addition to partition arguments. the implications comprise powerful canonization theorems for plenty of periods of equivalence kinfolk and sigma-ideals, in addition to ergodicity leads to instances the place canonization theorems are most unlikely to accomplish. perfect for graduate scholars and researchers in set concept, the e-book offers an invaluable springboard for extra research.

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Canonical Ramsey Theory on Polish Spaces (Cambridge Tracts in Mathematics, 202) by Vladimir Kanovei,Marcin Sabok,Jindřich Zapletal


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