1
$\begingroup$

Is it true that for even dimensional differentiable manifold $M^{2n}$ all singular homology classes in dimension less than $n$ can be represented by a submanifold?

Improve this question
$\endgroup$
2
  • 5
    $\begingroup$ Look at the two answers to this duplicate question:mathoverflow.net/questions/21171/… $\endgroup$
    – Achim Krause
    Commented Mar 12, 2015 at 0:02
  • 3
    $\begingroup$ In particular, there are obstructions for an integral homology class to be represented by a manifold map altogether (you can get some odd multiple in general), but as soon as that part works you can turn such a map into an embedding in the dimensions you're asking for. $\endgroup$
    – Achim Krause
    Commented Mar 12, 2015 at 0:04

0

Reset to default

You must log in to answer this question.