TY - JOUR
AB - Let X H A(X) denote the algebraic K-theory of spaces functor. The main objective of this paper is to show that A(X x S-1) admits a functorial splitting. The splitting has four factors: a copy of A(X), a delooped copy of A(X) and two homeomorphic nil terms. One should view the decomposition as the algebraic K-theory of spaces version of the Bass-Heller-Swan theorem. In deducing this splitting, we introduce a new tool: a "non-linear" analogue of the projective line. (C) 2001 Elsevier Science B.V. All rights reserved.
AU - HÃ¼ttemann, Thomas
AU - Klein, John R.
AU - Vogell, Wolrad
AU - Waldhausen, Friedhelm
AU - Williams, Bruce
ID - 1785317
IS - 1
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
TI - The "fundamental theorem" for the algebraic K-theory of spaces. I
VL - 160
ER -