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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
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Infinite Homotopy Theory

Infinite Homotopy Theory

Baues, H-J
Quintero, A.

Paperback

Series: K-Monographs in Mathematics, Book 6

AlgebraGeneral Mathematics

ISBN10: 9401064938
ISBN13: 9789401064934
Publisher: Springer Pg
Published: Oct 3 2013
Pages: 296
Weight: 0.96
Height: 0.65 Width: 6.14 Depth: 9.21
Language: English
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.

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