Timeline for Equivariant versus retractive spaces: a reference request
Current License: CC BY-SA 3.0
8 events
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| May 22, 2013 at 4:33 | comment | added | Ricardo Andrade | @Dylan: That is true. If I read the relevant passage in Michael Shulman's article correctly, he derives the based case from the unbased one using a nice, fairly elementary model categorical lemma found in Hovey's book. In any case, the result for spaces (as opposed to simplicial sets) really should be attributed to Shulman. Thank you for bringing up the article "Units of ring spectra and Thom spectra" making use of Shulman's result. // @John: You are welcome. Also, I would absolutely not have found this article without Dylan's answer, so the credit is his. | |
| May 22, 2013 at 2:01 | vote | accept | John Klein | ||
| May 22, 2013 at 2:01 | comment | added | John Klein | @Ricardo: Thanks. I think you're right---the Shulman result is the one I want to reference. Since that Dylan's answer prompted your comment, I guess I should give Dylan the credit for the answer. | |
| May 22, 2013 at 0:56 | comment | added | Dylan Wilson | (In fact it should follow from the unbased case, no?) | |
| May 22, 2013 at 0:56 | comment | added | Dylan Wilson | Fair, though I would be surprised if the proof of the based case was much different. | |
| May 22, 2013 at 0:04 | comment | added | Ricardo Andrade | On the other hand, the above article makes a reference to "Parametrized spaces model locally constant homotopy sheaves" (arxiv.org/abs/0706.2874) by Michael Shulman. Corollary 8.7 in this article is very close to the result that John Klein is asking for. | |
| May 21, 2013 at 23:43 | comment | added | Ricardo Andrade | It seems that article deals with unbased $G$-simplicial sets. | |
| May 21, 2013 at 23:13 | history | answered | Dylan Wilson | CC BY-SA 3.0 |