Stock image for illustration purposes only - book cover, edition or condition may vary.
Infinite Homotopy Theory
Baues, H.J.; Quintero, Antonio
€ 65.38
FREE Delivery in Ireland
Description for Infinite Homotopy Theory
Paperback. Series: K-Monographs in Mathematics. Num Pages: 296 pages, biography. BIC Classification: PBC; PBMS; PBP; PBPD. Category: (P) Professional & Vocational. Dimension: 240 x 160 x 17. Weight in Grams: 494.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer Netherlands
Number of pages
296
Condition
New
Series
K-Monographs in Mathematics
Number of Pages
296
Place of Publication
Dordrecht, Netherlands
ISBN
9789401064934
SKU
V9789401064934
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Infinite Homotopy Theory
From the reviews: "In this book the authors try to deal with more general spaces in a fundamental way by setting up algebraic topology in an abstract categorical context which encompasses not only the usual category of topological spaces and continuous maps, but also several categories related to proper maps. … all concepts are carefully ... Read more