Papers on topology : analysis situs and its five supplements
著者
書誌事項
Papers on topology : analysis situs and its five supplements
（History of mathematics, v. 37 . Sources）
American Mathematical Society, c2010
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注記
"Translator's bibliography": p. xix-xx
Includes bibliographical references and index
収録内容
- On analysis situs : Comptes rendus de l'Académie des sciences 115 (1892), pp. 633-636
- Supplement to Analysis situs : Rendiconti del Circulo matematico di Palermo 13 (1899), pp. 285-343
- Second supplement to Analysis situs : Proceedings of the London Mathematical Society 32 (1900), pp. 277-308
- On certain algebraic surfaces; third supplement to Analysis situs : Bulletin de la Sociétè mathématique de France, 30 (1902), pp. 49-70
- Cycles on algebraic surfaces; fourth supplement to Analysis situs : Journal de mathématiques, 8 (1902), pp. 169-214
- Fifth supplement to Analysis situs : Rendiconti del Circulo matematico di Palermo 18 (1904), pp. 45-110
内容説明・目次
内容説明
The papers in this book chronicle Henri Poincare's journey in algebraic topology between 1892 and 1904, from his discovery of the fundamental group to his formulation of the Poincare conjecture. For the first time in English translation, one can follow every step (and occasional stumble) along the way, with the help of translator John Stillwell's introduction and editorial comments. Now that the Poincare conjecture has finally been proved, by Grigory Perelman, it seems timely to collect the papers that form the background to this famous conjecture. Poincare's papers are in fact the first draft of algebraic topology, introducing its main subject matter (manifolds) and basic concepts (homotopy and homology). All mathematicians interested in topology and its history will enjoy this book.
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