Introduction to Homotopy Theory

Martin Arkowitz

ISBN 10: 1441973281 / ISBN 13: 9781441973283

Verlag: Springer New York, 2011

Introduction to Homotopy Theory | Martin Arkowitz | Taschenbuch | xiii | Englisch | 2011 | Springer New York | EAN 9781441973283 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Bestandsnummer des Verkäufers 101018806

Inhaltsangabe:

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.

Über die Autorin bzw. den Autor: 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.

Bibliografische Details

Titel: Introduction to Homotopy Theory
Verlag: Springer New York
Erscheinungsdatum: 2011
Einband: Taschenbuch
Zustand: Neu