TY  - JOUR
AB  - Problems working with the Segal operations in algebraic K-theory of spaces—constructed by F. Waldhausen (1982)—arose from the absence of a nice groupcompletion on the category level. H. Grayson and D. Gillet (1987) introduced a combinatorial model G. for K-theory of exact categories. For dealing with K-theory of spaces we need an extension wG. of their result to the context of categories with cofibrations and weak equivalences. Our main result is that in the presence of a suspension functor—as in the case of retractive spaces—the wG. construction on the category of prespectra is an un-delooped version of the K-theory of the original category. In a sequel to this paper we show that Grayson's formula (1988) for Segal operations works as intended.
DA  - 1992
DO  - 10.1016/0022-4049(92)90053-I
LA  - eng
IS  - 3
M2  - 255
PY  - 1992
SN  - 0022-4049
SP  - 255-270
T2  - Journal of Pure and Applied Algebra
TI  - An un-delooped version of algebraic K-theory
UR  - https://nbn-resolving.org/urn:nbn:de:0070-bipr-30057
Y2  - 2024-11-24T22:00:48
ER  -