On morphisms of crossed polymodules

Subject Areas : Algebraic topology

B. Davvaz ¹ , K. Emir ²

1 - Department of Mathematics, Yazd University, Yazd, Iran
2 - Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic

Received: 2019-08-05 Accepted : 2019-10-27 Published : 2020-03-01

Keywords: Limit, Polygroup, crossed module,

Abstract :

‎In this paper‎, ‎we prove that the category of crossed polymodules (i.e‎. ‎crossed modules of polygroups) and their morphisms is finitely complete‎. ‎We‎, ‎therefore‎, ‎generalize the group theoretical case of this completeness property of crossed modules‎.

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