Recent success with the four-dimensional Poincar� conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincar� 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 Poincar� conjecture and its ramifications, giving an insight into the herculean work of the author on the ...
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Recent success with the four-dimensional Poincar� conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincar� 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 Poincar� 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 Poincar� 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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