Beck's theorem
From Wikipedia, the free encyclopedia
In mathematics, there are two (different) theorems (by two different mathematicians) which go under the name of Beck's theorem.
- In category theory, Beck's monadicity theorem (also known as the Beck tripleability theorem), proven by J. M. Beck around 1967, gives necessary and sufficient conditions for a functor to be monadic.
- In incidence geometry, Beck's theorem is a more quantitative form of the more classical Sylvester-Gallai theorem. It says that finite collections of points fall into one of two extremes; one where a large fraction of points lie on a single line, and one where a large number of lines are needed to connect all the points.
 |
This disambiguation page lists articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article. |
