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arXiv · 1406.3551

The First Differential of the Functor "Algebraic K-Theory of Spaces"

Mark Ullmann
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Abstract

In his "Algebraic K-theory of topological spaces II" Waldhausen proved that his functor A(X) splits: There is a canonical map from the stable homotopy of X which has a retraction up to weak equivalence. We adapt Waldhausen's proof to obtain a calculation of the Differential (in the sense of Goodwillie's "Calculus I") of A(X) at any path-connected base space.

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Mark Ullmann. 2014-06-13. The First Differential of the Functor "Algebraic K-Theory of Spaces". https://arxiv.org/abs/1406.3551

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