Mathematics – Geometric Topology
Scientific paper
2004-02-13
Geom. Topol. Monogr. 9 (2006) 105-153
Mathematics
Geometric Topology
This is the version published by Geometry & Topology Monographs on 22 April 2006
Scientific paper
10.2140/gtm.2006.9.105
We develop an epsilon-controlled algebraic L-theory, extending our earlier work on epsilon-controlled algebraic K-theory. The controlled L-theory is very close to being a generalized homology theory; we study analogues of the homology exact sequence of a pair, excision properties, and the Mayer--Vietoris exact sequence. As an application we give a controlled L-theory proof of the classic theorem of Novikov on the topological invariance of the rational Pontrjagin classes.
Ranicki Andrew
Yamasaki Masayuki
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