Timeline for What are some famous rejections of correct mathematics?
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| May 28, 2022 at 16:16 | history | edited | Martin Sleziak | CC BY-SA 4.0 |
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| Feb 4, 2010 at 15:26 | comment | added | Ryan Budney | There are the corresponding Whitehead towers where you "kill" the lowest-dimensional non-trivial homotopy group of a space by a fibration whose fibre is an Eilenberg-Maclane space. In the 1-dimensional case this is a covering space. An example of killing $\pi_2$ of the base would be the Hopf fibration $S^3 \to S^2$. It's maybe not as complete an analogy as you'd like? | |
| Feb 3, 2010 at 15:23 | comment | added | Tim Porter | Perhaps Alexandrov and Hopf were right. The higher homotopy groups are not the right generalisation of the fundamental group. The latter classifies covering spaces, but the higher homotopy groups have no corresponding property. | |
| Feb 3, 2010 at 1:13 | history | answered | Steven Gubkin | CC BY-SA 2.5 |