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    • CommentRowNumber1.
    • CommentAuthorDexter Chua
    • CommentTimeJul 15th 2016
    • (edited Jul 16th 2016)

    Created the page Fraenkel-Mostowski model and populated it with basic definitions and information moved from ZFA

    • CommentRowNumber2.
    • CommentAuthorspitters
    • CommentTimeJul 15th 2016

    There are already entries for Schanuel topos and nominal set.

    • CommentRowNumber3.
    • CommentAuthorDexter Chua
    • CommentTimeJul 16th 2016

    In the category-theoretic approach (moved from the previous ZFA page), do we have to require the each element of the sets to have an open stabilizer? This would correspond to requiring the sets in the classical permutation model to be hereditarily symmetric, rather than just being symmetric.

    • CommentRowNumber4.
    • CommentAuthorDavidRoberts
    • CommentTimeJul 17th 2016

    do we have to require the each element of the sets to have an open stabilizer?

    Depends what you are needing. Maybe I was thinking of symmetric models at the same time if it was me that wrote it (I guess I did).

    • CommentRowNumber5.
    • CommentAuthorDexter Chua
    • CommentTimeJul 18th 2016

    If we take a set in a permutation model, then it’s elements would have open stabilizers, so I believe this should be reflected in the corresponding category. This also corresponds to the action of the group being continuous (if the set is given the discrete topology), which is by itself a natural thing to require if we are given a topological group.