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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeOct 28th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexA stub entry, for the moment just to have a place to record * Haibo Yang, *Equivariant cohomology and sheaves*, Journal of Algebra, **412** 2014, 230-254 ([doi:10.1016/j.jalgebra.2014.05.009](https://doi.org/10.1016/j.jalgebra.2014.05.009)) I had wanted to extract the main definition and theorem from the article into the entry, but got distracted with editing at *[[good open cover]]* instead, and now am out of time for tonight. More later... <a href="https://ncatlab.org/nlab/revision/equivariant+good+open+cover/1">v1</a>, <a href="https://ncatlab.org/nlab/show/equivariant+good+open+cover">current</a>

   A stub entry, for the moment just to have a place to record

   • Haibo Yang, Equivariant cohomology and sheaves, Journal of Algebra, 412 2014, 230-254 (doi:10.1016/j.jalgebra.2014.05.009)

   I had wanted to extract the main definition and theorem from the article into the entry, but got distracted with editing at good open cover instead, and now am out of time for tonight. More later…

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeNov 11th 2021
   • (edited Nov 11th 2021)
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have added some lines to the Idea-section, made explicit the notion of "properly equivariant" (good) open covers (my terminology) which restrict to (good) open covers on all suitable fixed loci, and made the claim of existence for smooth $G$-manifolds more explicit (currently stated for finite equivariance groups, but this should hold for all compact Lie groups). <a href="https://ncatlab.org/nlab/revision/diff/equivariant+open+cover/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/equivariant+open+cover/4">v4</a>, <a href="https://ncatlab.org/nlab/show/equivariant+open+cover">current</a>

   I have added some lines to the Idea-section, made explicit the notion of “properly equivariant” (good) open covers (my terminology) which restrict to (good) open covers on all suitable fixed loci, and made the claim of existence for smooth $G$-manifolds more explicit (currently stated for finite equivariance groups, but this should hold for all compact Lie groups).

   diff, v4, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 14th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded mentioning of the regularity clause ([here](https://ncatlab.org/nlab/show/equivariant+open+cover#ProperlyEquivariantOpenCover)) <a href="https://ncatlab.org/nlab/revision/diff/equivariant+open+cover/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/equivariant+open+cover/6">v6</a>, <a href="https://ncatlab.org/nlab/show/equivariant+open+cover">current</a>

   added mentioning of the regularity clause (here)

   diff, v6, current