On the algebraic $L$-theory of $Δ$-sets

Details On the algebraic $L$-theory of $Δ$-sets On the algebraic $L$-theory of $Δ$-sets

2007-01-29

arxiv.org/abs/math/0701833v2

Mathematics

Algebraic Topology

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

Scientific paper

The algebraic $L$-groups $L_*(\A,X)$ are defined for an additive category
$\A$ with chain duality and a $\Delta$-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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