{"product_id":"9781107026858","title":"Canonical Ramsey Theory on Polish Spaces (Cambridge Tracts in Mathematics)","description":"\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":49750272377080,"sku":"00000_00000_00000_00000","price":311.38,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0789\/8208\/6904\/files\/9781107026858-1.jpg?v=1783641432","url":"https:\/\/kinokuniya.com.au\/products\/9781107026858","provider":"Books Kinokuniya Australia","version":"1.0","type":"link"}