(Co-)fibration of generalized crossed modules

Abstract

Crossed modules are algebraic structures that generalize the concept of group extensions. They involve group-like objects (often groups or groupoids) with additional structure and mappings between them that satisfy certain properties. Generalized crossed modules further extend this concept to higher-dimensional settings or more general algebraic contexts. In this paper, we studied the fibration and co-fibration of generalized crossed modules.

Keywords

• fibration
• generalized crossed module
• induced
• (co)-limit
• pullback