An inverse $K$-theory functor
Documenta mathematica, Tome 15 (2010), pp. 765-791
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Thomason showed that the K-theory of symmetric monoidal categories models all connective spectra. This paper describes a new construction of a permutative category from a Γ-space, which is then used to re-prove Thomason's theorem and a non-completed variant.
Classification :
19D23, 55P42, 55P47
Mots-clés : gamma space, permutative category, connective spectrum
Mots-clés : gamma space, permutative category, connective spectrum
Michael A. Mandell. An inverse $K$-theory functor. Documenta mathematica, Tome 15 (2010), pp. 765-791. doi: 10.4171/dm/313
@article{10_4171_dm_313,
author = {Michael A. Mandell},
title = {An inverse $K$-theory functor},
journal = {Documenta mathematica},
pages = {765--791},
year = {2010},
volume = {15},
doi = {10.4171/dm/313},
url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/313/}
}
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