Name: Algebraic Homotopy (Cambridge Studies in Advanced Mathematics) (en Inglés)
Price: 127.24 USD
Availability: InStock
Author: Baues, Hans Joachim
ISBN: 9780521055314

portada Algebraic Homotopy (Cambridge Studies in Advanced Mathematics) (en Inglés)

Formato

Libro Físico

Autor

Hans Joachim Baues

Editorial

Cambridge University Press

Año

2008

Idioma

Inglés

N° páginas

488

Encuadernación

Tapa Blanda

Dimensiones

22.9 x 15.2 x 2.8 cm

Peso

0.71 kg.

ISBN

0521055318

ISBN13

9780521055314

Categorías

Topología
Matemáticas aplicadas

Algebraic Homotopy (Cambridge Studies in Advanced Mathematics) (en Inglés)

Hans Joachim Baues (Autor) · Cambridge University Press · Tapa Blanda

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Reseña del libro "Algebraic Homotopy (Cambridge Studies in Advanced Mathematics) (en Inglés)"

This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.