Baroni’s theorem

Let (xn)n0 be a sequence of real numbers such that limn(xn+1-xn)=0. Let A={xn|n} and A’ the set of limit pointsMathworldPlanetmathPlanetmath of A. Then A’ is a (possibly degenerate) interval from ¯, where ¯={-,+}

Title Baroni’s theorem
Canonical name BaronisTheorem
Date of creation 2013-03-22 13:32:30
Last modified on 2013-03-22 13:32:30
Owner mathwizard (128)
Last modified by mathwizard (128)
Numerical id 6
Author mathwizard (128)
Entry type Theorem
Classification msc 40A05