The Disc Embedding Theorem

The Disc Embedding Theorem PDF Author: Stefan Behrens
Publisher: Oxford University Press
ISBN: 0192578383
Category : Mathematics
Languages : en
Pages : 300

Book 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. 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.

Geometry and Topology of Manifolds

Geometry and Topology of Manifolds PDF Author: Hans U. Boden
Publisher: American Mathematical Soc.
ISBN: 0821837249
Category : Mathematics
Languages : en
Pages : 362

Book Description
This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory,Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the manyexcellent talks delivered at the conference.

Topology of 4-Manifolds (PMS-39), Volume 39

Topology of 4-Manifolds (PMS-39), Volume 39 PDF Author: Michael H. Freedman
Publisher: Princeton University Press
ISBN: 1400861063
Category : Mathematics
Languages : en
Pages : 268

Book Description
One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of the International Congress of Mathematicians to Freedman in 1986. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field. The basic material has been considerably simplified from the original publications, and should be accessible to most graduate students. The advanced material goes well beyond the literature; nearly one-third of the book is new. This work is indispensable for any topologist whose work includes four dimensions. It is a valuable reference for geometers and physicists who need an awareness of the topological side of the field. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

The Gropes

The Gropes PDF Author: Tom Sharpe
Publisher: Random House
ISBN: 1446474690
Category : Fiction
Languages : en
Pages : 274

Book Description
It is one of the more surprising facts about Old England that one can still find families living in the same houses their ancestors built centuries before and on land that has belonged to them since before the Norman Conquest. The Gropes of Grope Hall are one such family.... The Gropes are an old English family based in Northumberland, separated from the rest of society and as eccentric as they come. It is a line dominated by strong-willed and oversexed women, determined to produce more female heirs regardless of whether their desired partners are willing ... At the dawn of the new millennium, timid and gormless teenager Esmond is abducted and lured to Grope Hall by a descendant of the Gropes. Young Esmond is powerless to escape, and his kidnap sets in motion a stream of farcical events that will have readers laughing out loud. Tom Sharpe's trademark humour abounds in this new novel, marking him out once again as an outstanding and unique British storyteller.
Proudly powered by WordPress | Theme: Rits Blog by Crimson Themes.