منابع مشابه
Rational Homotopy Calculus of Functors
of “Rational Homotopy Calculus of Functors” by Ben C. Walter, Ph.D., Brown University, July 2005. We construct a homotopy calculus of functors in the sense of Goodwillie for the categories of rational homotopy theory. More precisely, given a homotopy functor between any of the categories of differential graded vector spaces (DG), reduced differential graded vector spaces, differential graded Li...
متن کاملCoherent Functors in Stable Homotopy Theory
such that C and D are compact objects in S (an object X in S is compact if the representable functor Hom(X,−) preserves arbitrary coproducts). The concept of a coherent functor has been introduced explicitly for abelian categories by Auslander [1], but it is also implicit in the work of Freyd on stable homotopy [9]. In this paper we characterize coherent functors in a number of ways and use the...
متن کاملHomotopy Fibre Sequences Induced by 2-functors
This paper contains some contributions to the study of the relationship between 2-categories and the homotopy types of their classifying spaces. Mainly, generalizations are given of both Quillen’s Theorem B and Thomason’s Homotopy Colimit Theorem to 2-functors. Mathematical Subject Classification: 18D05, 55P15, 18F25.
متن کاملTHE FUNCTORS W AND Diag ◦Nerve ARE SIMPLICIALLY HOMOTOPY EQUIVALENT
Given a simplicial group G, there are two known classifying simplicial set constructions, the Kan classifying simplicial set WG and Diag NG, where N denotes the dimensionwise nerve. They are known to be weakly homotopy equivalent. We will show that WG is a strong simplicial deformation retract of Diag NG. In particular, WG and Diag NG are simplicially homotopy equivalent.
متن کاملChange of universe functors in equivariant stable homotopy theory
One striking difference between nonequivariant and equivariant stable homotopy is that, in the equivariant context, one must specify those representations with respect to which spectra are to be stable. One may specify stability with respect only to trivial representations (thereby obtaining what is often called the naive equivariant stable category), with respect to all representations (thereb...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1994
ISSN: 0022-4049
DOI: 10.1016/0022-4049(94)90135-x