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Results tagged with at.algebraic-topology
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user 128502
Homotopy theory, homological algebra, algebraic treatments of manifolds.
14
votes
1
answer
700
views
Is there a concrete description of the nontorsion elements in the homotopy groups of spheres?
By Serre's theorem, we know the only nontorsion parts of the homotopy groups of spheres occur as $\pi_n(S^n)$ and $\pi_{4n-1}(S^{2n})$. The first of these are trivial to describe, but the second have …
- 1,949
3
votes
Accepted
Why does $p_*p^! A$ deserve to be called homology with coefficients in $A$?
One nice geometric way to view homology is a measurement of your space $X$ given by probing $X$ with other, nicer spaces, for instance, singular homology probes with simplices. One good reason to call …
- 1,949