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Results tagged with differential-topology
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user 59302
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
21
votes
Rational homotopy groups of $S^2\vee S^2$
Piotr, I think the question you really want to ask is:
Given a map $f:S^n \to S^2 \vee S^2$, how do I prove that it is homotopically nontrivial?
This is the so-called homotopy period problem, and it …
- 934
6
votes
Accepted
Unknotting algorithm in higher dimensions?
The version of the problem in dimensions higher than 4 is undecidable, by work of Nabutovsky and Weinberger:
https://link.springer.com/content/pdf/10.1007/BF02566428.pdf
This is related to the undecid …
- 934