Weakly globular catn-groups and Tamsamani's model

Simona Paoli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We introduce a new model of connected (n + 1)-types which consists of a subcategory of catn-groups. We study the homotopical properties of this model; this includes an algebraic description of the Postnikov decomposition and of the homotopy groups of its objects. Further, we use this model to build a comparison functor from catn-groups to Tamsamani weak (n + 1)-groupoids which preserves the homotopy type. As an application, we obtain a homotopical semistrictification result for those Tamsamani weak (n + 1)-groupoids whose classifying space is path-connected.

Original languageEnglish
Pages (from-to)621-727
Number of pages107
JournalAdvances in Mathematics
Volume222
Issue number2
Early online date10 Jun 2009
DOIs
Publication statusPublished - 1 Oct 2009

Keywords

  • cat-groups
  • Homotopy types
  • Weak n-groupoid

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