A note on Robert Paré's notion of universal covering category

Samantha Parle

We present what seems to be the simplest and most natural way to show that Robert Paré's definition of universal covering category fully agrees with the one that arises in abstract Galois theory.

Keywords: Covering morphism of categories, Galois theory, universal covering category, fundamental groupoid

2020 MSC: 18E50, 18E35

Theory and Applications of Categories, Vol. 44, 2025, No. 34, pp 1148-1152.

Published 2025-10-31.

http://www.tac.mta.ca/tac/volumes/44/34/44-34.pdf

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