Weakly globular catn-groups and Tamsamani's model

Simona Paoli*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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
Issue number2
Early online date10 Jun 2009
Publication statusPublished - 1 Oct 2009

Bibliographical note

Funding Information:
This work was supported by an Australian Research Council Postdoctoral Fellowship (Project No. DP0558598) held at Macquarie University, where the majority of this work was carried out.


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


Dive into the research topics of 'Weakly globular catn-groups and Tamsamani's model'. Together they form a unique fingerprint.

Cite this