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.
DA  - 2001
DO  - 10.1016/S0022-4049(00)00058-X
LA  - eng
IS  - 1
M2  - 21
PY  - 2001
SN  - 0022-4049
SP  - 21-52
T2  - Journal of Pure and Applied Algebra
TI  - The "fundamental theorem" for the algebraic K-theory of spaces. I
UR  - https://nbn-resolving.org/urn:nbn:de:0070-pub-17853174
Y2  - 2024-11-22T03:06:46
ER  -