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Hello everyone, I am a newbie to the category theory. While reading some paper about infinite Galois theory, the 'anti-equivalence' of two categories showed up. Could anyone give me a 'good' explanation what this means? Thanks a lot.

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  • $\begingroup$ Anti-equivalence of two categories is the same as duality between two categories. $\endgroup$
    – user234212323
    Commented May 27, 2023 at 23:29

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All it means that one of the categories is equivalent to the opposite of the other.

Wikipedia has informative pages on opposites of categories and equivalences of categories:

http://en.wikipedia.org/wiki/Opposite_%28category_theory%29 ,

http://en.wikipedia.org/wiki/Equivalence_of_categories .

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