Timeline for Topologically enriched homotopy colimits commuting with homotopy pullbacks
Current License: CC BY-SA 3.0
3 events
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| Sep 28, 2012 at 17:31 | comment | added | Alexander Körschgen | However, the problem is that the level fibrations which also satisfy the homotopy pullback condition should become fibrations in a cofibrantly generated model structure, and I do not know how to characterize the maps by a lifting property, if I change the condition to the one proposed by you or the one I stumbled upon. | |
| Sep 28, 2012 at 17:31 | comment | added | Alexander Körschgen | Dear Mr May, thank you very much for your response. I am not yet sure, if this all works out. At least, I am pretty convinced now that the induced map $B(\ast,K,X) \to B(\ast,K,Y)$ is usually not a fibration. I also get the feeling that the hypotheses might be wrong. At some places, I needed the condition that the square $$ \begin{array}{ccc} K(k,l) \times X(k) & \to & K(k,l) \ times Y(k) \end{array}$$ $$ \begin{array}{ccc} X(l) & \to & Y(l) \end{array}$$ is homotopy pullback (vertical maps are action maps). I do not know if this condition is equivalent to your proposed condition. | |
| Sep 14, 2012 at 14:16 | history | answered | Peter May | CC BY-SA 3.0 |