This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology o...

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Bibliographische Detailangaben

1. Verfasser:	Ranicki, Andrew, 1948-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cambridge [England] ; New York, NY, USA : Cambridge University Press, 1992.
Schriftenreihe:	London Mathematical Society lecture note series ; 178.
Schlagworte:	K-theory. K-théorie. MATHEMATICS > Topology. K-theory K-Théorie.
Online-Zugang:	Volltext
Zusammenfassung:	This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. These groups arise as the Grothendieck groups of modules and quadratic forms which are components of the K- and L-groups of polynomial extensions. They are important in the topology of non-compact manifolds such as Euclidean spaces, being the value groups for Whitehead torsion, the Siebemann end obstruction and the Wall finiteness and surgery obstructions. Some of the applications to topology are included, such as the obstruction theories for splitting homotopy equivalences and for fibering compact manifolds over the circle. Only elementary algebraic constructions are used, which are always motivated by topology. The material is accessible to a wide mathematical audience, especially graduate students and research workers in topology and algebra.
Beschreibung:	1 online resource (174 pages)
Bibliographie:	Includes bibliographical references (pages 167-171) and index.
ISBN:	9781107361904 1107361907