On the algebraic L-theory of Δ-sets

2007/01/29 by Andrew Ranicki, Michael Weiss, Ranicki, Andrew +1
Mathematics · #19G24 #57A65 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #math.AT #math.GT #msc:19G24 #msc:57A65

paper · pdf · doi:10.48550/arxiv.math/0701833

LATEX, 23 pages. To appear in the special issue of the Pure and Applied Mathematics Quarterly dedicated to F. Thomas Farrell and Lowell E. Jones

arxiv created 2010/09/24 · arxiv updated 2010/09/27

Abstract

The algebraic L-groups L_*(\A,X) are defined for an additive category \A with chain duality and a Δ-set X, and identified with the generalized homology groups H_*(X;\LL_\bullet(\A)) of X with coefficients in the algebraic L-spectrum \LL_\bullet(\A). Previously such groups had only been defined for simplicial complexes X.

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