Recent success with the four-dimensional Poincare conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincare 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 Poincare 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 Poincare 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.
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Produkt-Hinweis
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Gewebe-Einband
ISBN-13
978-981-02-4050-9 (9789810240509)
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Schweitzer Klassifikation
Herausgeber*in
Pennsylvania State Univ, Usa
Pennsylvania State Univ, Usa
Pennsylvania State Univ, Usa
Mathematics of Steve Armentrout - a review (S. Singh); Bing's dogbone space is not strongly locally simply connected (S. Armentrout); a program for the Poincare Conjecture and some of its ramifications (V. Poenaru); on the foundation of geometry, analysis and the differentiable structure for manifolds (D. Sullivan); a conformal invariant characterizing the sphere (A. Banyaga and J-P. Ezin); spaces of holomorphic maps from CP1 to complex Grasmann manifolds (D.E. Hurtubise); sets with lie isometry groups (H. Movahedi-Lankarani and R. Wells).
