Recent content by killian

  1. K

    How do you prove that some point is the *only* accumulation point in a set?

    Homework Statement I'm using the following definition of an accumulation point: A point a \in \textbb{R} is an accumulation point of a set A\subset \textbb{R} if every \epsilon-neighborhood of a contains at least one element of A distinct from a. Now, given the set A=\{\frac{1}{n}:n\in...
  2. K

    Schools Does self-study matter when applying to graduate schools?

    I'm a junior math major in college, and I'd like to apply to some graduate schools when I'm done. If I haven't taken any analysis courses (beyond a basic "advanced calculus" sequence), but I've covered a full year of real analysis on my own, will that make a difference? I'm thinking of...