{"product_id":"disc-embedding-theorem-based-on-the-work-of-michael-h-freedman-the","title":"Disc Embedding Theorem Based on the work of Michael H. Freedman, The","description":"\u003cp\u003eBased 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. The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc\n\u003cbr\u003eembedding 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\n\u003cbr\u003ewell 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.The book is written for mathematicians, within the subfield of topology,\n\u003cbr\u003especifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.\u003c\/p\u003e","brand":"Oxford University Press","offers":[{"title":"Default Title","offer_id":44156409381102,"sku":"9780198841319","price":221.7,"currency_code":"AUD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0630\/9612\/7726\/files\/9780198841319.jpg?v=1706215081","url":"https:\/\/bookland.com.au\/products\/disc-embedding-theorem-based-on-the-work-of-michael-h-freedman-the","provider":"Book Land AU","version":"1.0","type":"link"}