Description
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. exact sequences of homotopy sets, actions, and coactions; homotopy and homology decompositions of spaces and maps; It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory.
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows:
• Basic homotopy; • H-spaces and co-H-spaces; • Fibrations and cofibrations; • Exact sequences of homotopy sets, actions, and coactions; • Homotopy pushouts and pullbacks; • Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; • Homotopy sets; • Homotopy and homology decompositions of spaces and maps; and• Obstruction theory.
The underlying theme of the entire book is the Eckmann-Hilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty.
It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory; these topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience of this book is advanced undergraduate or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory.
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory.
The underlying theme of the entire book is the Eckmann-Hilton duality theory. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory. These topics are discussed in the appendices. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.
- Langue
- en
- Version
- Broché
- Date de sortie initiale
- 25 juillet 2011
- Nombre de pages
- 344
- Illustrations
- Avec illustrations
Personnes impliquées
- Auteur principal
-
Martin Arkowitz
- Editeur principal
-
Springer
Informations sur le fabricant
- Nom du fabricant
- Springer Nature Customer Service Center GmbH
- Adresse électronique du fabricant
- ProductSafety@springernature.com
- Informations sur le fabricant
- Les informations du fabricant ne sont actuellement pas disponibles
Autres spécifications
- Hauteur de l’emballage
- 23 mm
- Hauteur du produit
- 25 mm
- Largeur d’emballage
- 154 mm
- Largeur du produit
- 159 mm
- Livre d‘étude
- Oui
- Longueur d’emballage
- 237 mm
- Longueur du produit
- 248 mm
- Poids de l’emballage
- 522 g
- Police de caractères extra large
- Non
EAN
- EAN
- 9781441973283
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- Opérateur économique responsable dans l’UE
-
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Vous trouverez cet article :
- Catégories
-
Science et nature
Mathématiques
Topologie
Topologie algébrique
Livres
- Livre, ebook ou livre audio ?
-
Livre
- Disponibilité
-
Disponible à l’adresse suivante
- Langue
-
Anglais
- Type de livre
-
Paperback
