In mathematics, a rectifiable set is a set that is smooth in a certain measure-theoretic sense. It is an extension of the idea of a rectifiable curve to higher dimensions; loosely speaking, a rectifiable set is a rigorous formulation of a piece-wise smooth set. As such, it has many of the desirable properties of smooth manifolds, including tangent spaces that are defined almost everywhere. Rectifiable sets are the underlying object of study in geometric measure theory.
Read more about Rectifiable Set: Definition
Famous quotes containing the word set:
“I had rather hear a brazen canstick turned,
Or a dry wheel grate on the axle-tree,
And that would set my teeth nothing on edge,
Nothing so much as mincing poetry.
‘Tis like the forced gait of a shuffling nag.”
—William Shakespeare (1564–1616)