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1. • CommentRowNumber1.
   • CommentAuthornLab edit announcer
   • CommentTimeFeb 14th 2020
   • PermaLink
   Author: nLab edit announcer
   Format: MarkdownItexExplained the right adjoint Kevin Arlin <a href="https://ncatlab.org/nlab/revision/diff/category+of+G-sets/12">diff</a>, <a href="https://ncatlab.org/nlab/revision/category+of+G-sets/12">v12</a>, <a href="https://ncatlab.org/nlab/show/category+of+G-sets">current</a>

   Explained the right adjoint

   Kevin Arlin

   diff, v12, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeMar 11th 2021
   • (edited Mar 11th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI went through the section "For internal groups actions" ([here](https://ncatlab.org/nlab/show/category+of+G-sets#InternalGroupActions)) 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](https://ncatlab.org/nlab/show/category+of+G-sets#GSetsIsAnElementaryTopos)) -- 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). <a href="https://ncatlab.org/nlab/revision/diff/category+of+G-sets/13">diff</a>, <a href="https://ncatlab.org/nlab/revision/category+of+G-sets/13">v13</a>, <a href="https://ncatlab.org/nlab/show/category+of+G-sets">current</a>

   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

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 6th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexIn the Definition I have replaced the description of the morphisms as "$G$-invariant maps" by "$G$-equivariant functions" -- for clarity. (Of course the $G$-equivariant functions are the $G$-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.) <a href="https://ncatlab.org/nlab/revision/diff/category+of+G-sets/15">diff</a>, <a href="https://ncatlab.org/nlab/revision/category+of+G-sets/15">v15</a>, <a href="https://ncatlab.org/nlab/show/category+of+G-sets">current</a>

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

   (Of course the $G$-equivariant functions are the $G$-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