We construct a Goodwillie tower of categories which interpolates between the category pointed spaces and spectra. This refines identity functor in precise sense. More generally, we such for large class ∞ <...

homotopy theory, preprint, 1997. 18. W. G. Dwyer and D. M. Kan, Simplicial localizations of categories, J. Pure Appl. Algebra

We give a new criterion guaranteeing existence of model structures left-induced along functor admitting both adjoints. This works under the hypothesis that induces idempotent adjunctions at homotopy category level. As an application, we construct on cubical sets, prederivators, marked simplicial sets and spaces modeling <mml:math xmlns:mml="http://www...