Some Remarks on MCI Crossed Modules

Year 2020, Volume: 8 Issue: 1, 193 - 201, 20.03.2020

Kadir Emir

https://doi.org/10.36753/mathenot.602513

Abstract

In an earlier work, it is proven that the category of crossed modules in a modified category of interest
(MCI crossed modules) is finitely complete with a certain condition, in which all codomains are fixed. In
this paper, we prove that this is also true without any restriction.

Keywords

modified category of interest , crossed module , limit

Supporting Institution

The author was supported by the projects Mathematical Structures 9 (MUNI/A/0885/2019), and Group Techniques and Quantum Information (MUNI/G/1211/2017) by Masaryk University Grant Agency (GAMU).

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