Boundedly Controlled Topology

Name: Boundedly Controlled Topology
Brand: Springer, Berlin
SKU: 9783540193975
Price: 157.72 PLN
Availability: InStock

Foundations of Algebraic Topology and Simple Homotopy Theory

Autor: Douglas R. Anderson, Hans J. Munkholm

Język:

Oprawa: Miękka

Wydawca: Springer, Berlin

Dostępność: Dostępna u dostawcy

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157.72 zł

Several recent investigations have focused attention on spaces and manifolds which are non-compact b...

Informacje o książce

Autor

Douglas R. Anderson, Hans J. Munkholm

Język

Angielski

Oprawa

Książka - Miękka

strony

310

EAN

9783540193975

ISBN

3540193979

Enbook ID

05273650

Wydawca

Springer, Berlin

Waga

491

Wymiary

156 x 234 x 17

Pełny opis

Several recent investigations have focused attention on spaces and manifolds which are non-compact but where the problems studied have some kind of "control near infinity". This monograph introduces the category of spaces that are "boundedly controlled" over the (usually non-compact) metric space Z. It sets out to develop the algebraic and geometric tools needed to formulate and to prove boundedly controlled analogues of many of the standard results of algebraic topology and simple homotopy theory. One of the themes of the book is to show that in many cases the proof of a standard result can be easily adapted to prove the boundedly controlled analogue and to provide the details, often omitted in other treatments, of this adaptation. For this reason, the book does not require of the reader an extensive background. In the last chapter it is shown that special cases of the boundedly controlled Whitehead group are strongly related to lower K-theoretic groups, and the boundedly controlled theory is compared to Siebenmann's proper simple homotopy theory when Z = IR or IR2.

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Boundedly Controlled Topology

Foundations of Algebraic Topology and Simple Homotopy Theory

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