Buch, Englisch, 496 Seiten, Format (B × H): 244 mm x 168 mm, Gewicht: 953 g
Buch, Englisch, 496 Seiten, Format (B × H): 244 mm x 168 mm, Gewicht: 953 g
ISBN: 978-0-19-884131-9
Verlag: Sydney University Press
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.