Timeline for Is the geometric realization of a level-wise weak equivalence a weak equivalence?
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Jun 11, 2014 at 15:40 | comment | added | Chris Schommer-Pries | Yes, this makes me wonder if the result holds if we restrict to $\Delta$-generated spaces? Then the example goes away, but maybe there is a different counter example in that case? | |
| Jun 11, 2014 at 4:17 | comment | added | Ben Wieland | Let me motivate this construction by isolating a counterexample to a different property. $N\to X_1$ is a map that is a weak equivalence, but that ceases to be a weak equivalence on taking suspension, because $\pi_0$ doesn't care about points getting close, but $\pi_1$ does. Now we want to promote this to a geometric realization, which is plausible since suspension is related to a homotopy colimit. | |
| Jun 10, 2014 at 6:48 | vote | accept | Chris Schommer-Pries | ||
| Jun 9, 2014 at 16:53 | history | answered | Tyler Lawson | CC BY-SA 3.0 |