What is "transversality"

n. (context mathematics English) a property of two intersecting submanifolds, where at every intersection point, their separate tangent spaces at that point together generate the tangent space of the ambient manifold at that point.

In mathematics, transversality is a notion that describes how spaces can intersect; transversality can be seen as the "opposite" of tangency, and plays a role in general position. It formalizes the idea of a generic intersection in differential topology. It is defined by considering the linearizations of the intersecting spaces at the points of intersection.

Transversality may refer to:

• Transversality (mathematics), a notion in mathematics
• Transversality theorem, a theorem in differential topology