arXiv Open Access 2018

Covering morphisms of internal groupoids in the models of a semi-abelian theory

Osman Mucuk Serap Demir

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Abstrak

In this paper, for given an algebraic theory $T$ whose category $C$ of models is semi-abelian, we consider the topological models of $T$ called topological $T$-algebras and obtain some results related to the fundamental groups of topological $T$-algebras. We also deal with the internal groupoid structure in the category of models providing that the fundamental groupoid deduces a functor from topological $T$-algebras to the internal groupoids in $C$ and prove a criterion for the lifting of such an internal groupoid structure to the covering groupoids.

Topik & Kata Kunci

math.CT math.AT

Penulis (2)

Osman Mucuk

Serap Demir

Format Sitasi

APA MLA BibTeX

Mucuk, O., Demir, S. (2018). Covering morphisms of internal groupoids in the models of a semi-abelian theory. https://arxiv.org/abs/1801.08903

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Informasi Jurnal

Tahun Terbit: 2018
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓