The Disc Embedding Theorem (Hardcover)

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 Poincare conjecture in the topological category. The 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. The 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.

General

Imprint:	Oxford UniversityPress
Country of origin:	United Kingdom
Release date:	July 2021
Editors:	Stefan Behrens (Assistant Professor) • Boldizsar Kalmar (Assistant Professor) • Min Hoon Kim (Assistant Professor) • Mark Powell (Durham University) • Arunima Ray (Lise Meitner group leader)
Dimensions:	243 x 160 x 30mm (L x W x T)
Format:	Hardcover
Pages:	496
ISBN-13:	978-0-19-884131-9
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Geometry > General Books > Science & Mathematics > Mathematics > Topology > General Books > Science & Mathematics > Mathematics > Applied mathematics > General Promotions
LSN:	0-19-884131-0
Barcode:	9780198841319

Is the information for this product incomplete, wrong or inappropriate? Let us know about it.

Does this product have an incorrect or missing image? Send us a new image.

Is this product missing categories? Add more categories.

Review This Product

No reviews yet - be the first to create one!