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The loop space of the Q-construction
- Illinois J. Math
, 1987
"... The higher algebraic K-groups are defined as gi.// [ ’lri+ lQ’I rl Q’I for an exact category J/. We present a simplicial set Gt ’ with the property that a’l is naturally homotopy equivalent to the loop space IQ’I, and thus Kilt ’ %1G’I. In this way we given an algebraic description of the loop space ..."
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The higher algebraic K-groups are defined as gi.// [ ’lri+ lQ’I rl Q’I for an exact category J/. We present a simplicial set Gt ’ with the property that a’l is naturally homotopy equivalent to the loop space IQ’I, and thus Kilt ’ %1G’I. In this way we given an algebraic description of the loop space, which a priori, has no such description. The case where t ’ is a category in which all the exact sequences split was
