Simplicial structures in topology / Davide L. Ferrario, Renzo A. Piccinini

Auteur: Ferrario, Davide Luigi (1969-) - AuteurCo-auteur: Piccinini, Renzo A. (1933-) - AuteurAuteur secondaire : Piccinini, Maria Nair - TraducteurType de document: Monographie Collection: CMS books in mathematics Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, cop. 2011Description: 1 vol. (XVI-243 p.) : diag., fig. ; 24 cm ISBN: 9781441972354 ; rel. Note: La couv. porte en plus : Canadian mathematical society, Société mathématique du CanadaRésumé: Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in a short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henri Poincaré (singular homology is not discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful. (Source : Springer).Bibliographie: Bibliogr. p. 239-240. Index. Sujets MSC: 55-02 Algebraic topology -- Research exposition (monographs, survey articles)
55U10 Algebraic topology -- Applied homological algebra and category theory -- Simplicial sets and complexes
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La couv. porte en plus : Canadian mathematical society, Société mathématique du Canada

Trad. de : "Strutture simpliciali in topologia"

Bibliogr. p. 239-240. Index

Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in a short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henri Poincaré (singular homology is not discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful. (Source : Springer)

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