# nLab simple foliation

A regular foliation $\mathcal{P} \hookrightarrow T X$ is called simple if the leaf space $X/\mathcal{P}$ is a smooth manifold and the quotient projection $X \to X/\mathcal{P}$ is a surjective submersion.

Conversely, a simple foliation is a foliation by leaves of a surjective submersion.

Created on March 25, 2013 at 21:36:18. See the history of this page for a list of all contributions to it.