A generalized Grothendieck spectral sequence Page 171 A generalized Grothendieck spectral
sequence David Blanc Northwestern University Christopher Stover University of Chicago June …

We give a new construction for the n-th Taylor polynomial, in the sense of Goodwillie
calculus, for homotopy functors from spectra to spectra. We then use this model to classify n …

We introduce a general theory of parametrized objects in the setting of ß–categories.
Although parametrised spaces and spectra are the most familiar examples, we establish our …

Suppose given functors A× A′ F−→ Bg−→ C between abelian categories, an object X in A
and an object X′ in A′ such that F (X,−), F (−, X′) and G are left exact, and such that …

Classical homological algebra takes place in additive categories. In homotopy theory such
additive categories arise as homotopy categories of “additive groupoid enriched categories” …

We construct spectral sequences in the framework of Baues–Wirsching cohomology and
homology for functors between small categories and analyze particular cases including …

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 …

We investigate cohomology and homology theories of categories with general coefficients
given by functors on simplex categories first studied by Thomason. These generalize Baues …

We define and study opfibrations of V-enriched categories when V is an extensive monoidal
category whose unit is terminal and connected. This includes sets, simplicial sets …

ASPECTS OF FRACTIONAL EXPONENT FUNCTORS 1. Introduction Page 1 Theory and
Applications of Categories, Vol. 5, No. 10, pp. 251{265. ASPECTS OF FRACTIONAL …