transitive closure

The transitive closureMathworldPlanetmathPlanetmath of a set X is the smallest transitive set tc(X) such that Xtc(X).

The transitive closure of a set can be constructed as follows:

Define a function f on ω by f(0)=X and f(n+1)=f(n)

Title transitive closure
Canonical name TransitiveClosure
Date of creation 2013-03-22 13:04:33
Last modified on 2013-03-22 13:04:33
Owner Henry (455)
Last modified by Henry (455)
Numerical id 4
Author Henry (455)
Entry type Definition
Classification msc 03E20
Related topic TransitiveMathworldPlanetmathPlanetmath