Timeline for Homotopy colimits of cyclic spaces
Current License: CC BY-SA 2.5
4 events
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| May 13, 2010 at 22:17 | comment | added | David Ben-Zvi | Hi Ben! I'm not sure I understand your comment -- with the model structure that DHK give (as your link mentions) you do get the $\infty$-category of spaces over $BS^1$ on the nose. So sure, you can give them a more refined model structure (which Spalinski does) keeping track of extra fixed point data, and this is what is discussed in Reid's question, but in what sense does this is a "more precise" answer to the question as opposed to a different homotopy theory? | |
| May 13, 2010 at 16:45 | comment | added | Ben Wieland | More precisely, a localization of cyclic spaces is equivalent to spaces over $BS^1$. Without the localization, it's more like spaces with an $S^1$ action, with actual fixed point spaces for subgroups (but not for the whole group). also see MO's suggestions. Spalinski: ams.org/mathscinet-getitem?mr=1325168 | |
| May 13, 2010 at 15:27 | vote | accept | Jeffrey Giansiracusa | ||
| May 13, 2010 at 13:56 | history | answered | David Ben-Zvi | CC BY-SA 2.5 |