7
$\begingroup$

Why is the fundamental group of a compact manifold finitely presented?

Improve this question
$\endgroup$

1 Answer 1

Reset to default
19
$\begingroup$

Every compact manifold has the homotopy type of a finite CW-complex, and a finite CW-complex has finitely presented fundamental group by van Kampen's theorem.

Improve this answer
$\endgroup$
0

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .