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Article overview
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A symmetric approach to higher coverings in categorical Galois theory | Fara Renaud
; Tim Van der Linden
; | Date: |
2 Jun 2022 | Abstract: | In the context of a tower of (strongly Birkhoff) Galois structures in the
sense of categorical Galois theory, we show that the concept of a higher
covering admits a characterisation which is at the same time absolute (with
respect to the base level in the tower), rather than inductively defined
relative to extensions of a lower order; and symmetric, rather than depending
on a perspective in terms of arrows pointing in a certain chosen direction.
This result applies to the Galois theory of quandles, for instance, where it
helps us characterising the higher coverings in purely algebraic terms. | Source: | arXiv, 2206.00949 | Services: | Forum | Review | PDF | Favorites |
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