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math.AT2009
Operads and chain rules for the calculus of functors
Gregory Arone, Michael Ching
We study the structure possessed by the Goodwillie derivatives of a pointed homotopy functor of based topological spaces. These derivatives naturally form a bimodule over the opera…
math.AT2009
Augmented Gamma-spaces, the stable rank filtration, and a bu-analogue of the Whitehead Conjecture
Gregory Arone, Kathryn Lesh
We explore connections between our earlier work, in which we constructed spectra that interpolate between bu and HZ, and earlier work of Kuhn and Priddy on the Whitehead conjecture…