Infinite Homotopy Theory
Language: English
Published by Springer, Springer, 2001
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
Condition: New
£ 69.56
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Add to basketItem description from seller
Druck auf Anfrage Neuware - Printed after ordering - 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.…
Seller Inventory # 9780792369820
- Title
- Infinite Homotopy Theory
- Author
- H-J. Baues
- Publisher
- Springer, Springer
- Publication year
- 2001
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 0792369823
- ISBN 13
- 9780792369820
- Item weight
- 629 grams
- Dimensions
- 241x160x21 mm
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Review
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 explained and detailed references for the proofs are given. ... a good understanding of the basics of ordinary homotopy theory is all that is needed to enjoy reading this book." (F. Clauwens, Nieuw Archief voor Wiskunde, Vol. 7 (2), 2006)
"About the title" may belong to another edition of this title.
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