I was suprised to realize that foliation theory was actually closely related to topology. Indeed, http://www.map.mpim-bonn.mpg.de/Foliations, states a theorem which say that a codimension one foliation exists if and only if the Euler characteristic of the topological space is one! I am currently working with foliations, so I wondered if someone here knew the consequences of both a codimesion one foliation _and_ a one-dimensional foliation existing on the same time? What does it imply for the topology? The first type of foliation is often known as hypersurface foliations (or slicing), while the second is known also known as threading.