I know the definition in terms of metric spaces, so maybe this is what youre looking for...
A metric space (E,d) is called complete if every Cauchy sequence in E converges in E.
of course the definition for cauchy sequence is a sequence given any e>0
there is a positive integer N such that...
Im planning on applying to math graduate school and taking the GRE subject test for math this weekend. However I don't think I am going to do well, but the small glimmer of hope that I have is that the schools I am applying to, either don't require it at all or "strongly recommend" it, so I am...