ON INTERNAL CATEGORIES IN HIGHER DIMENSIONAL GROUPS

Author:

EGE ARSLAN Ummahan1,SOYLU YILMAZ Elis1

Affiliation:

1. ESKISEHIR OSMANGAZI UNIVERSITY

Abstract

In this paper, we demonstrated the equivalencies of internal categories of cat-1 groups and cat-2 groups structures using some related equivalent categories.

Publisher

Journal of Universal Mathematics

Subject

General Medicine

Reference8 articles.

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2. [2] J.-L. Loday, Spaces with finitely many nontrivial homotopy groups, Journal of Pure and Applied Algebra , Vol. 24, 179-202 (1982).

3. [3] T. Sahan and J. J. Mohammed, Categories Internal to Crossed Modules, Sakarya University Journal of Science, Vol. 23, N. 4, 519-531 (2019).

4. [4] J. J. Mohammed, On the internal categories within the category of crossed modules, M.Sc. Thesis, Aksaray University, (2018).

5. [5] T., Porter, Homotopy Quantum Field Theories meets the Crossed Menagerie: an introduction to HQFTs and their relationship with things simplicial and with lots of crossed gadgetry, Lecture Notes (2011).

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1. The universal property of commutative algebras' internal crossed modules;Journal of New Results in Science;2023-08-31

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