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1. • CommentRowNumber1.
   • CommentAuthorUrs
   • CommentTimeJun 16th 2020
   • (edited Jun 16th 2020)
   • PermaLink
   Author: Urs
   Format: MarkdownItexam starting this with a minimum of an Idea-section, for the moment just so as to give a home to this reference: * Dieter Degrijse, [[Markus Hausmann]], [[Wolfgang Lück]], Irakli Patchkoria, [[Stefan Schwede]], _Proper equivariant stable homotopy theory_ ([arXiv:1908.00779](https://arxiv.org/abs/1908.00779)) <a href="https://ncatlab.org/nlab/revision/proper+equivariant+homotopy+theory/1">v1</a>, <a href="https://ncatlab.org/nlab/show/proper+equivariant+homotopy+theory">current</a>

   am starting this with a minimum of an Idea-section, for the moment just so as to give a home to this reference:

   • Dieter Degrijse, Markus Hausmann, Wolfgang Lück, Irakli Patchkoria, Stefan Schwede, Proper equivariant stable homotopy theory (arXiv:1908.00779)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorDavid_Corfield
   • CommentTimeJun 16th 2020
   • (edited Jun 16th 2020)
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItex> the adjective ‘proper’ indicates that the theory is only sensible to fixed point information for compact subgroups So this is to retain the advantages of compactness outlined by Charles Rezk back [here](https://nforum.ncatlab.org/discussion/5313/global-equivariant-stable-homotopy-theory/?Focus=42406#Comment_42406)? Why call it 'proper'?

   the adjective ‘proper’ indicates that the theory is only sensible to fixed point information for compact subgroups

   So this is to retain the advantages of compactness outlined by Charles Rezk back here?

   Why call it ’proper’?

3. • CommentRowNumber3.
   • CommentAuthorDavidRoberts
   • CommentTimeJun 16th 2020
   • PermaLink
   Author: DavidRoberts
   Format: MarkdownItexMy guess is because it covers proper actions by topological groups, and probably proper Lie groupoids as well, if it's done right.

   My guess is because it covers proper actions by topological groups, and probably proper Lie groupoids as well, if it’s done right.

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeJun 16th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes.

   Yes.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeJun 16th 2020
   • PermaLink
   Author: Urs
   Format: MarkdownItex(By the way, that quote in #2 is from their article, not my $n$Lab article. Otherwise I would go and fix the "is sensible to" to "is sensitive to".

   (By the way, that quote in #2 is from their article, not my $n$Lab article. Otherwise I would go and fix the “is sensible to” to “is sensitive to”.