{"product_id":"disc-embedding-theorem","title":"Disc Embedding Theorem","description":"Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category.\n \nThe Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as well as a stand-alone interlude that explains the disc embedding theorem's key role in all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. Additionally, the ramifications of the disc embedding theorem within the study of topological 4-manifolds, for example Frank Quinn's development of fundamental tools like transversality are broadly described.\n\nThe book is written for mathematicians, within the subfield of topology, specifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":54261800763736,"sku":"9780198841319","price":127.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780198841319_32a8114d-ca29-442b-85ed-c028fcea1cc5.jpg?v=1777548621","url":"https:\/\/agendabookshop.com\/products\/disc-embedding-theorem","provider":"Agenda Bookshop","version":"1.0","type":"link"}