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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