The "fundamental theorem" for the algebraic K-theory of spaces. I

Hüttemann, Thomas; Klein, John R.; Vogell, Wolrad; Waldhausen, Friedhelm; Williams, Bruce

The "fundamental theorem" for the algebraic K-theory of spaces. I

Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B (2001)
Journal of Pure and Applied Algebra 160(1): 21-52.

Zeitschriftenaufsatz | Veröffentlicht | Englisch

Download

Waldhausen_2.pdf

DOI

https://doi.org/10.1016/S0022-4049(00)00058-X

URN

urn:nbn:de:0070-pub-17853174

Autor*in

Hüttemann, Thomas; Klein, John R.; Vogell, Wolrad; Waldhausen, Friedhelm^UniBi; Williams, Bruce

Einrichtung

Fakultät für Mathematik

Abstract / Bemerkung

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.

Erscheinungsjahr

2001

Zeitschriftentitel

Journal of Pure and Applied Algebra

Band

160

Ausgabe

Seite(n)

21-52

ISSN

0022-4049

Page URI

https://pub.uni-bielefeld.de/record/1785317

Zitieren

Hüttemann T, Klein JR, Vogell W, Waldhausen F, Williams B. The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra. 2001;160(1):21-52.

Hüttemann, T., Klein, J. R., Vogell, W., Waldhausen, F., & Williams, B. (2001). The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra, 160(1), 21-52. https://doi.org/10.1016/S0022-4049(00)00058-X

Hüttemann, Thomas, Klein, John R., Vogell, Wolrad, Waldhausen, Friedhelm, and Williams, Bruce. 2001. “The "fundamental theorem" for the algebraic K-theory of spaces. I”. Journal of Pure and Applied Algebra 160 (1): 21-52.

Hüttemann, T., Klein, J. R., Vogell, W., Waldhausen, F., and Williams, B. (2001). The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra 160, 21-52.

Hüttemann, T., et al., 2001. The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra, 160(1), p 21-52.

T. Hüttemann, et al., “The "fundamental theorem" for the algebraic K-theory of spaces. I”, Journal of Pure and Applied Algebra, vol. 160, 2001, pp. 21-52.

Hüttemann, T., Klein, J.R., Vogell, W., Waldhausen, F., Williams, B.: The "fundamental theorem" for the algebraic K-theory of spaces. I. Journal of Pure and Applied Algebra. 160, 21-52 (2001).

Hüttemann, Thomas, Klein, John R., Vogell, Wolrad, Waldhausen, Friedhelm, and Williams, Bruce. “The "fundamental theorem" for the algebraic K-theory of spaces. I”. Journal of Pure and Applied Algebra 160.1 (2001): 21-52.

Alle Dateien verfügbar unter der/den folgenden Lizenz(en):

Copyright Statement: