Algebraic \(K\)-theory of nonlinear projective spaces
type: Item
instance of: scholarly article
title: Algebraic \(K\)-theory of nonlinear projective spaces
zbMATH Open document ID: 0993.19001
DOI: 10.1016/S0022-4049(01)00088-3
published in: Journal of Pure and Applied Algebra
publication date: 2002-06-24T00:00:00Z
review text: The algebraic \(K\)-theory of the \(n\)-dimensional projective space over a commutative ring \(R\) is isomorphic to the direct sum of \(n+1\) copies of the algebraic \(K\)-theory of \(R\). This paper gives an analogous result in the algebraic \(K\)-theory of spaces, using the algebraic \(K\)-theory of a point instead of the algebraic \(K\)-theory of \(R\). The replacement for a quasi-coherent sheaf of modules is a non-linear sheaf, which is defined to be a commutative diagram of equivariant topological spaces satisfying a homotopy sheaf condition.
reviewed by: Richard John Steiner
Mathematics Subject Classification ID: 19D10
Mathematics Subject Classification ID: 55U35
zbMATH DE Number: 1758360
zbMATH Keywords: algebraic \(K\)-theory of spaces
zbMATH Keywords: non-linear sheaf
zbMATH Keywords: non-linear projective space
author: Thomas Hüttemann
MaRDI profile type: Publication
cites work: Q4191283
cites work: Q4896538
cites work: Q4220599
cites work: The ``fundamental theorem'' for the algebraic \(K\)-theory of spaces. I
cites work: Homotopical algebra
cites work: Higher algebraic K-theory: I
cites work: Q5522742
cites work: Q3356420
cites work: Q3701607
description: scientific article; zbMATH DE number 1758360