0
$\begingroup$

Let us consider a function $f:\mathbb{R}^3→\mathbb{R}$, $f(x,y,z)=x^3+y^3+z^3-5yz$. Can anybody drop a hint how to compute relative homology of interlevel sets with coefficients in $\mathbb{R}: H_{\bullet}(f^{−1}(−∞,100), f^{−1}(−∞,−100),\mathbb{R}).$

Improve this question
$\endgroup$
2
  • 1
    $\begingroup$ Dear @quantum: Can you say something about the background for this problem? For example, why you care and what you have tried? $\endgroup$
    – Ricardo Andrade
    Jul 25, 2013 at 4:53
  • $\begingroup$ Thank you for your attention. I work with last years variants of qualifying exams. I suppose that there is a general technique of calculation dimensions of these vector spaces. For instance, extended persistence diagrams (arxiv.org/pdf/1102.3389v1.pdf). $\endgroup$
    – quantum
    Jul 25, 2013 at 13:29

0

Reset to default

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Browse other questions tagged or ask your own question.