Talk:Mapping torus

This can't be right as stated.
The last sentence of the article is this:

"A deep result of Thurston states that in this case the 3-manifold Mf is hyperbolic if and only if f is a pseudo-Anosov homeomorphism of S."

Perhaps this would be correct if it read:

"A deep result of Thurston states that in this case the 3-manifold Mf is hyperbolic if and only if f is isotopic to a pseudo-Anosov homeomorphism of S."

I hope someone knowlegeable about this subject can fix this. 2601:200:C000:1A0:65EE:1F3C:5AB:B9C0 (talk) 00:12, 10 August 2021 (UTC)