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
Autor*in
Hüttemann, Thomas;
Klein, John R.;
Vogell, Wolrad;
Waldhausen, FriedhelmUniBi;
Williams, Bruce
Einrichtung
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
1
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:
Dieses Objekt ist durch das Urheberrecht und/oder verwandte Schutzrechte geschützt. [...]
Volltext(e)
Name
Access Level
![Open access file OA](https://pub.uni-bielefeld.de/images/access_open.png)
Zuletzt Hochgeladen
2019-09-06T08:49:01Z
MD5 Prüfsumme
bf6882185c96e2bca5df052da09e40a8
Export
Markieren/ Markierung löschen
Markierte Publikationen
Web of Science
Dieser Datensatz im Web of Science®Suchen in