| Résume | [Séminaire Commun Paris7-Paris13->www.math.univ-paris13.fr/laga/index.php/fr/ta/seminaires]
I will present joint work with Brooke Shipley, in which we have defined a model category structure on the category of \Sigma^\inftyX_+ - comodule spectra such that the K-theory of the associated Waldhausen category of homotopically finite objects is naturally weakly equivalent to the usual Waldhausen K-theory of X, A(X). I will describe the relation of this comodule approach to A(X) to the more familiar description in terms of \Sigma^\infty \Omega X_+ - module spectra. I will also explain the construction and properties of the topological coHochschild homology of X, which is a potentially interesting approximation to A(X). |
