Articles liés à Algebraic Topology

Hatcher, Allen Algebraic Topology ISBN 13 : 9780521791601

Algebraic Topology - Couverture rigide

 
9780521791601: Algebraic Topology
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Présentation de l'éditeur :
In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.
Revue de presse :
'... this is a marvellous tome, which is indeed a delight to read. This book is destined to become very popular amongst students and teachers alike.' Bulletin of the Belgian Mathematical Society

'... clear and concise ... makes the book useful both as a basis for courses and as a reference work.' Monatshefte für Mathematik

'... the truly unusual abundance of instructive examples and complementing exercises is absolutely unique of such a kind ... the distinctly circumspect, methodologically inductive, intuitive, descriptively elucidating and very detailed style of writing give evidence to the fact that the author's first priorities are exactly what students need when working with such a textbook, namely clarity, readability, steady motivation, guided inspiration, increasing demand, and as much self-containedness of the exposition as possible. No doubt, a very devoted and experienced teacher has been at work here, very much so to the benefit of beginners in the field of algebraic topology, instructors, and interested readers in general.' Zentralblatt MATH

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

  • ÉditeurCambridge University Press
  • Date d'édition2001
  • ISBN 10 052179160X
  • ISBN 13 9780521791601
  • ReliureRelié
  • Nombre de pages556
  • Evaluation vendeur

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9780521795401: Algebraic Topology

Edition présentée

ISBN 10 :  ISBN 13 :  9780521795401
Editeur : Cambridge University Press, 2009
Couverture souple

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