Timeline for How to determine whether a map between posets is a fibration
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Feb 13, 2011 at 17:10 | comment | added | Dan Ramras | I've never seen results that actually guarantee that a map of posets has the homotopy lifting property after applying geometric realization. Unfortunately, it seems like a lot to ask. Maybe you should add some discussion of your motivation to the question, so we can see why you need homotopy lifting. | |
| Feb 13, 2011 at 13:25 | comment | added | Robert | I have been looking at Theorem B, but I need more than information about the homotopy types of the fibers. I actually need to know that my map has the homotopy lifting property. | |
| Feb 13, 2011 at 6:57 | history | edited | Dan Ramras | CC BY-SA 2.5 |
corrected statement
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| Feb 13, 2011 at 6:54 | comment | added | Dan Ramras | Yeah, I messed that up! The conclusion is just that the combinatorial homotopy fibers are equivalent to the homotopy fibers. I will edit. | |
| Feb 13, 2011 at 4:09 | comment | added | John Klein | @Dan: Robert is asking for a fibration, not a quasi-fibration. Theorem "B" of Quillen is a statement about a functor inducing a quasi-fibration after taking classifying spaces. | |
| Feb 12, 2011 at 19:11 | history | answered | Dan Ramras | CC BY-SA 2.5 |