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Relative algebraic K-theory and cyclic homology
- T. Goodwillie
- Mathematics
- 1 September 1986
Embeddings from the point of view of immersion theory
- T. Goodwillie, M. Weiss
- Philosophy
- 28 May 1999
Let M and N be smooth manifolds. For an open V ⊂ M let emb(V,N) be the space of embeddings from V to N . By the results of Goodwillie [4], [5], [6] and Goodwillie–Klein [7], the cofunctor V 7→…
The Local Structure of Algebraic K-Theory
- B. Dundas, T. Goodwillie, R. McCarthy
- Mathematics
- 6 September 2012
Algebraic K-theory.- Gamma-spaces and S-algebras.- Reductions.- Topological Hochschild Homology.- The Trace K --> THH.- Topological Cyclic Homology.- The Comparison of K-theory and TC.
Calculus III: Taylor Series
- T. Goodwillie
- Mathematics
- 28 October 2003
We study functors from spaces to spaces or spectra that preserve weak homotopy equivalences. For each such functor we construct a universal n-excisive approximation, which may be thought of as its…
A cohomological bound for the h-topology
- T. Goodwillie, T. G. S. Lichtenbaum
- Mathematics
- 2001
<abstract abstract-type="TeX"><p>We show that if <i>X</i> is a <i>d</i>-dimensional noetherian scheme such that the residue field of <i>X</i> at every point has strict étale cohomological dimension ≤…
Multiple disjunction for spaces of smooth embeddings
- T. Goodwillie, John R. Klein
- Mathematics
- 25 July 2014
We obtain multirelative connectivity statements about spaces of smooth embeddings, deducing these from a similar result about spaces of Poincaré embeddings that was established in Goodwillie and…
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