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Ricci flow and the Poincaré conjecture By John W. Morgan, G. Tian
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ISBN 978-0-8218-4328-4 (alk. paper) 1. Ricci flow. 2. \x3cb\x3ePoincare conjecture\x3c/b\x3e. I. Tian, G. II. Title. III. \x3cb\x3e...\x3c/b\x3e","page_tag":[4,26,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR4\x26dq=poincare+conjecture"},{"page_id":"PR8","page_number":"viii","snippet_text":"Completion of the proof of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e 413 Chapter 18. Finite-time extinction 415 1. The result 415 2. Disappearance of components with \x3cb\x3e...\x3c/b\x3e","page_tag":[6,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR8\x26dq=poincare+conjecture"},{"page_id":"PR9","page_number":"ix","snippet_text":"Introduction In this book we present a complete and detailed proof of The \x3cb\x3ePoincare Conjecture\x3c/b\x3e: every closed, smooth, simply connected 3-manifold is \x3cb\x3e...\x3c/b\x3e","page_tag":[7,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR9\x26dq=poincare+conjecture"},{"page_id":"PR10","page_number":"x","snippet_text":"This immediately implies an affirmative resolution of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e and of the 3-dimensional spherical space-form \x3cb\x3econjecture\x3c/b\x3e. COROLLARY 0.2. \x3cb\x3e...\x3c/b\x3e","page_tag":[7,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR10\x26dq=poincare+conjecture"},{"page_id":"PR16","page_number":"xvi","snippet_text":"\x3cb\x3e...\x3c/b\x3e proving the \x3cb\x3ePoincare Conjecture\x3c/b\x3e have received. This process is underway. In this book we do not attempt to explicate any of the results beyond Theorem \x3cb\x3e...\x3c/b\x3e","page_tag":[7],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR16\x26dq=poincare+conjecture"},{"page_id":"PR42","page_number":"xlii","snippet_text":"\x3cb\x3e...\x3c/b\x3e and the last gives the short-cut to the \x3cb\x3ePoincare Conjecture\x3c/b\x3e and the 3-dimensional spherical space-form \x3cb\x3econjecture\x3c/b\x3e, avoiding the study of the limits as \x3cb\x3e...\x3c/b\x3e","page_tag":[7],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PR42\x26dq=poincare+conjecture"},{"page_id":"PA413","page_number":"413","snippet_text":"Part 4 Completion of the proof of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e \x3cb\x3e...\x3c/b\x3e","page_tag":[26,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PA413\x26dq=poincare+conjecture"},{"page_id":"PA415","page_number":"415","snippet_text":"\x3cb\x3e...\x3c/b\x3e oo) (Theorem 15.9), immediately yields Theorem 0.1, thus completing the proof of the \x3cb\x3ePoincare Conjecture\x3c/b\x3e and the 3-dimensional space-form \x3cb\x3econjecture\x3c/b\x3e. 1. \x3cb\x3e...\x3c/b\x3e","page_tag":[7],"page_url":""},{"page_id":"PA517","page_number":"517","snippet_text":"Towards the \x3cb\x3ePoincare conjecture\x3c/b\x3e and the classification of 3-manifolds. Notices Amer. Math. Soc., 50(10):1226-1233, 2003. [51] John Morgan and Gang Tian. \x3cb\x3e...\x3c/b\x3e","page_tag":[8,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PA517\x26dq=poincare+conjecture"},{"page_id":"PA521","page_number":"521","snippet_text":"\x3cb\x3e...\x3c/b\x3e 419, 419, 420, 423, 424, 426, 430, 431, 433 perturbed energy, 4%4 \x3cb\x3ePoincare Conjecture\x3c/b\x3e, ix point-picking, 203 polygonal approximation, 450 ramp, xl, 445, \x3cb\x3e...\x3c/b\x3e","page_tag":[9,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PA521\x26dq=poincare+conjecture"},{"page_id":"PT1","page_number":"","snippet_text":"For over 100 years the \x3cb\x3ePoincare Conjecture\x3c/b\x3e, which proposes a topo- logical characterization of the 3-sphere, has been the central question in topology. \x3cb\x3e...\x3c/b\x3e","page_tag":[10,23,26,35],"page_url":"http://books.google.com/books?id=8FctN7U85-QC\x26pg=PT1\x26dq=poincare+conjecture"}],"search_query_escaped":"poincare conjecture"});
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... and the Poincare Conjecture dg(t) dt ...
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... HOW and the Poincare Conjecture Th± s On< ...
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... and the Poincare Conjecture JOHN MORGAN GANG TIAN American Mathematical Society Clay Mathematics Institute ...
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3) Includes bibliographical references and index. ISBN 978-0-8218-4328-4 (alk. paper) 1. Ricci flow. 2. Poincare conjecture. I. Tian, G. II. Title. III. ...
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Completion of the proof of the Poincare Conjecture 413 Chapter 18. Finite-time extinction 415 1. The result 415 2. Disappearance of components with ...
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Introduction In this book we present a complete and detailed proof of The Poincare Conjecture: every closed, smooth, simply connected 3-manifold is ...
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This immediately implies an affirmative resolution of the Poincare Conjecture and of the 3-dimensional spherical space-form conjecture. COROLLARY 0.2. ...
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... proving the Poincare Conjecture have received. This process is underway. In this book we do not attempt to explicate any of the results beyond Theorem ...
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... and the last gives the short-cut to the Poincare Conjecture and the 3-dimensional spherical space-form conjecture, avoiding the study of the limits as ...
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Part 4 Completion of the proof of the Poincare Conjecture ...
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... oo) (Theorem 15.9), immediately yields Theorem 0.1, thus completing the proof of the
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Towards the Poincare conjecture and the classification of 3-manifolds. Notices Amer. Math. Soc., 50(10):1226-1233, 2003. [51] John Morgan and Gang Tian. ...
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... 419, 419, 420, 423, 424, 426, 430, 431, 433 perturbed energy, 4%4 Poincare Conjecture, ix point-picking, 203 polygonal approximation, 450 ramp, xl, 445, ...
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For over 100 years the Poincare Conjecture, which proposes a topo- logical characterization of the 3-sphere, has been the central question in topology. ...
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