Introduction to Homotopy Theory

Martin Arkowitz

ISBN 10: 1441973281 / ISBN 13: 9781441973283

Edité par Springer New York, 2011

A propos de cet article

Druck auf Anfrage Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9781441973283

Détails bibliographiques

• Titre: Introduction to Homotopy Theory
• Éditeur: Springer New York
• Date de parution: 2011
• Langue: anglais
• ISBN à 10 chiffres: 1441973281
• ISBN à 13 chiffres: 9781441973283
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 237 L x 154 H x 23 P (en millimètres) 237 millimètres de largeur par 154 millimètres de hauteur par 23 millimètres de profondeur
• Poids: 522 grammes

A propos de ce titre

Synopsis

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.

À propos de l?auteur

Martin Arkowitz is currently a professor of mathematics at Dartmouth College. He received his Ph.D. in mathematics at Cornell University. His area of expertise is algebraic topology.