Name: Infinite Homotopy Theory (en Inglés)
Price: 230248.00 COP
Availability: InStock
Author: Baues, H-J ; Quintero, A.
ISBN: 9789401064934

portada Infinite Homotopy Theory (en Inglés)

Formato

Libro Físico

Autor

H-J Baues

A. Quintero

Editorial

Springer

Idioma

Inglés

N° páginas

296

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.7 cm

Peso

0.44 kg.

ISBN13

9789401064934

Categorías

Algebra
Topología

Infinite Homotopy Theory (en Inglés)

H-J Baues (Autor) · A. Quintero (Autor) · Springer · Tapa Blanda

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Reseña del libro "Infinite Homotopy Theory (en Inglés)"

Compactness in topology and finite generation in algebra are nice properties to start with. However, the study of compact spaces leads naturally to non-compact spaces and infinitely generated chain complexes; a classical example is the theory of covering spaces. In handling non-compact spaces we must take into account the infinity behaviour of such spaces. This necessitates modifying the usual topological and algebraic cate- gories to obtain "proper" categories in which objects are equipped with a "topologized infinity" and in which morphisms are compatible with the topology at infinity. The origins of proper (topological) category theory go back to 1923, when Kere- kjart6 [VT] established the classification of non-compact surfaces by adding to orien- tability and genus a new invariant, consisting of a set of "ideal points" at infinity. Later, Freudenthal [ETR] gave a rigorous treatment of the topology of "ideal points" by introducing the space of "ends" of a non-compact space. In spite of its early ap- pearance, proper category theory was not recognized as a distinct area of topology until the late 1960's with the work of Siebenmann [OFB], [IS], [DES] on non-compact manifolds.