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Covering Morphisms of Local Topological Group-Groupoids

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Abstract

Let L be a local topological group whose underlying space has a universal cover. Then the fundamental groupoid \(\pi _1(L)\) becomes a local topological group-groupoid. In this paper, we prove that the slice category \({\mathsf {LTGpCov}}/L\) of covering moprphisms \(p:\widetilde{L}\rightarrow L\) of local topological groups in which \(\widetilde{L}\) has also a universal cover and the category \({\mathsf {LTGpGdCov}}/\pi _{1}(L)\) of covering morphisms \(q:\widetilde{G}\rightarrow \pi _1(L) \) of local topological group-groupoids based on \(\pi _1(L)\) are equivalent.

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Authors and Affiliations

  1. Bozok University, Yozgat, Turkey

    H. Fulya AKIZ

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  1. H. Fulya AKIZ
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Correspondence to H. Fulya AKIZ.

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AKIZ, H.F. Covering Morphisms of Local Topological Group-Groupoids. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 88, 603–606 (2018). https://doi.org/10.1007/s40010-017-0386-1

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  • DOI: https://doi.org/10.1007/s40010-017-0386-1

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