Overview

Recent success with the four-dimensional Poincaré conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincaré conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.The main topics treated in this book include a paper by V Poenaru on the Poincaré conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on “Bing's dogbone space” belongs to the topics in three-dimensional topology motivated by the Poincaré conjecture. S Singh gives a nice synthesis of Armentrout's work. Also included in the volume are shorter original papers, dealing with somewhat different aspects of geometry, and dedicated to Armentrout by his colleagues — Augustin Banyaga (and Jean-Pierre Ezin), David Hurtubise, Hossein Movahedi-Lankarani and Robert Wells.Contents: Mathematics of Steve Armentrout: A Review (S Singh) Bing's Dogbone Space Is Not Strongly Locally Simply Connected (S Armentrout) A Program for the Poincaré Conjecture and Some of Its Ramifications (V Poénaru) On the Foundation of Geometry, Analysis, and the Differentiable Structure for Manifolds (D Sullivan) A Conformal Invariant Characterizing the Sphere (A Banyaga & J-P Ezin) Spaces of Holomorphic Maps from ∀ P 1 to Complex Grassmann Manifolds (D E Hurtubise) Sets with Lie Isometry Groups (H Movahedi-Lankarani & R Wells) Readership: Researchers in mathematics and physics.

Full Product Details

9781322108926

Table of Contents

Reviews

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available