On The Algebraic L-theory of Delta-sets

Andrew Ranicki; Michael Weiss

On The Algebraic L-theory of Delta-sets

Andrew Ranicki, Michael Weiss

School of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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;L.(A)) of X with coefficients in the algebraic L-spectrum L.(A). Previously such groups had only been defined for simplicial complexes X.

Original language	English
Pages (from-to)	423-449
Number of pages	27
Journal	Pure and applied mathematics quarterly
Volume	8
Issue number	2
Publication status	Published - Apr 2012

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title = "On The Algebraic L-theory of Delta-sets",

abstract = "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;L.(A)) of X with coefficients in the algebraic L-spectrum L.(A). Previously such groups had only been defined for simplicial complexes X.",

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AB - 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;L.(A)) of X with coefficients in the algebraic L-spectrum L.(A). Previously such groups had only been defined for simplicial complexes X.

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SP - 423

EP - 449

JO - Pure and applied mathematics quarterly

JF - Pure and applied mathematics quarterly

SN - 1558-8599

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ER -

On The Algebraic L-theory of Delta-sets

Abstract

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