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nLab > Latest Changes: category of G-sets

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  1. Explained the right adjoint

    Kevin Arlin

    diff, v12, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 11th 2021
    • (edited Mar 11th 2021)

    I went through the section “For internal groups actions” (here) and fixed/adjusted the wording a little. In the lead-in paragraphs I tried to clarify the cross-referencing, for ease of the reader. In particular, where it said

    is itself a topos, by the same proof.

    I added pointer back to Theorem 3.11 (here) – and that theorem itself I gave a lead-in sentence to indicate that it summarizes the preceding statements (for it looked like not having a proof at all).

    diff, v13, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 6th 2021

    In the Definition I have replaced the description of the morphisms as “GG-invariant maps” by “GG-equivariant functions” – for clarity.

    (Of course the GG-equivariant functions are the GG-invariants in the mapping space. If that perspective is meant and felt to be crucial here, then we should make that explicit in the entry.)

    diff, v15, current

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