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An un-delooped vers...
An un-delooped version of algebraic K-theory
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- Gunnarsson, Thomas (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Schwänzl, R. (author)
- FB Mathematik, Universität Osnabrück
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- Vogt, R. M. (author)
- FB Mathematik, Universität Osnabrück
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- Waldhausen, F. (author)
- FB Mathematik, Universität Bielefeld
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(creator_code:org_t)
- 1992
- 1992
- English.
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In: Journal of Pure and Applied Algebra. - 0022-4049 .- 1873-1376. ; 79:3, s. 255-270
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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