The disc embedding theorem
by Behrens, Stefan, (Mathematician) Kalmar, Boldizsar Kim, Min Hoon Powell, Mark,, (Mathematician) Ray, Arunima
"Based on the 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 book contains the first thorough and accessible exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space…
Read More ↓Title Statements
- Full title :The disc embedding theorem / edited by Stefan Behrens, Boldizsár Kalmár, Min Hoon Kim, Mark Powell, and Arunima Ray.
Summary
"Based on the 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 book contains the first thorough and accessible 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 nondifferentiable homeomorphisms between manifolds, is provided, as well as a stand-along 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 theorim. 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."--Back cover.
Read More ↓Edition Statements
- Publication Date:2021.
Publication Statements
- Publisher(s):Oxford University Press
- Place of Publication:Oxford
- Language:eng
- Publication Date:2021.
The Physical Object
- Description:xvii, 473 pages : : illustrations ; : 24 cm
Edition Identifiers
- ISBN:9780198841319, 0198841310
- oclc:on1259542844
- LC Classification:QA613.6
- Dewey Decimal:514.72
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