sequence of sets convergence


Let {An}n=1 be a sequence of sets, and A a set.

The sequence {An}n=1 is said to from below to A, (shortly, AnA or AnA), iff
1) AnAn+1  n1
2) A=n=1An

The sequence {An}n=1 is said to from above to A, (shortly, AnA or AnA), iff
1) An+1An  n1
2) A=n=1An

In both cases the less accurate notation

A=limnAn

is also used.

Title sequence of sets convergence
Canonical name SequenceOfSetsConvergence
Date of creation 2013-03-22 16:15:12
Last modified on 2013-03-22 16:15:12
Owner Andrea Ambrosio (7332)
Last modified by Andrea Ambrosio (7332)
Numerical id 8
Author Andrea Ambrosio (7332)
Entry type Definition
Classification msc 28A05