Cofibration Category and Homotopies of Three-crossed Modules


ATİK H.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.42, no.1, pp.31-41, 2013 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 42 Issue: 1
  • Publication Date: 2013
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded, Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.31-41

Abstract

In this work, we show that category of totally free 2-crossed complexes
and that of totally free 3-crossed complexes are cofi bration categories
in the sense of Baues ([4]). We also explore homotopies for 3-crossed
modules and 3-crossed complex morphisms.