{"product_id":"category-and-measure-9780521196079","title":"Category and Measure","description":"Topological spaces in general, and the real numbers in particular, have the characteristic of exhibiting a 'continuity structure', one that can be examined from the vantage point of Baire category or of Lebesgue measure. Though they are in some sense dual, work over the last half-century has shown that it is the former, topological view, that has pride of place since it reveals a much richer structure that draws from, and gives back to, areas such as analytic sets, infinite games, probability, infinite combinatorics, descriptive set theory and topology. Keeping prerequisites to a minimum, the authors provide a new exposition and synthesis of the extensive mathematical theory needed to understand the subject's current state of knowledge, and they complement their presentation with a thorough bibliography of source material and pointers to further work. The result is a book that will be the standard reference for all researchers in the area.\u003cbr\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":51183385313554,"sku":"9780521196079","price":136.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0831\/4771\/8930\/files\/img_b361fadc-7333-4583-890c-7d19bf3a3c73.jpg?v=1744465470","url":"https:\/\/surprise-castle.myshopify.com\/products\/category-and-measure-9780521196079","provider":"Surprise Castle","version":"1.0","type":"link"}