Controlled L-theory

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dc.creatorRanicki, Andrew
dc.creatorYamasaki, Masayuki
dc.date2004-02-13
dc.date2009-03-18
dc.date.accessioned2026-07-07T12:53:15Z
dc.date.available2026-07-07T12:53:15Z
dc.descriptionWe 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.
dc.descriptionThis is the version published by Geometry & Topology Monographs on 22 April 2006
dc.identifierhttps://arxiv.org/abs/math/0402217
dc.identifierhttp://arxiv.org/abs/math/0402217
dc.identifierGeom. Topol. Monogr. 9 (2006) 105-153
dc.identifierdoi:10.2140/gtm.2006.9.105
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223560
dc.subjectGeometric Topology
dc.subjectAlgebraic Topology
dc.subject57R67, 18F25
dc.titleControlled L-theory
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