|WikiProject Mathematics||(Rated Start-class, Low-importance)|
Sentence needs to be reworded in order to make sense
"A Reebless foliation can fail to be taut but the only leaves of the foliation with no puncturing transverse circle must be compact, and in particular, homeomorphic to a torus."
makes no sense to me. Even if it has some interpretation that I am missing, it should be reworded so that people don't have to struggle in order to understand it.
Also: The first paragraph is as follows:
"In mathematics, a taut foliation is a codimension 1 foliation of a 3-manifold with the property that there is a single transverse circle intersecting every leaf. By transverse circle, is meant a closed loop that is always transverse to the tangent field of the foliation. Equivalently, by a result of Dennis Sullivan, a codimension 1 foliation is taut if there exists a Riemannian metric that makes each leaf a minimal surface."
The last sentence is unclear because although it begins with "Equivalently," it uses the conjunction "if" rather than "if and only if". (There is a long tradition in mathematics of using "if" to mean "if and only if" in definitions, but *not* in other circumstances such as this one.)