La catégorie Θ de Joyal est une catégorie test

  • Cisinski D
  • Maltsiniotis G
  • 1

    Readers

    Mendeley users who have this article in their library.
  • 2

    Citations

    Citations of this article.

Abstract

The principal aim of this article is to prove that the cellular category Θ of Joyal is a strict test category in Grothendieck's sense. In particular, this implies that cellular sets, presheaves on Θ, modelize homotopy types in a very precise sense, and this in a way compatible with finite cartesian products. To achieve this, we develop a formalism of "décalages" on a small category, or on a functor, of independent interest and having other applications. © 2010 Elsevier B.V.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Denis Charles Cisinski

  • Georges Maltsiniotis

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free