Albert Lautman's "Mathematics, Ideas and the Physical Real" has an example of a Betti space of dimension 0 with Betti number 2. The "point that does not exist" in such a circular annulus produces the Betti space of dimension 0. A general Riemann sphere with some "points that have been removed" is an example of an infinite number series in the extended complex plane. In my very humble opinion, with that "points not existing/have been removed" situation suffered by the Riemann sphere, the point that does not exist would not be greater than that particular infinity in which it could be placed.
http://en.wikipedia.org/wiki/Riemann_sphere (and
http://en.wikipedia.org/wiki/Georg_Cantor explains the concept of infinities that may interest you). You might appreciate "The Man Who Loved Only Numbers," "The Man Who Knew Infinity," "The Symbolic Language of Geometricial Figures," "Solving Mathematical Problems: A Personal Approach," by Terrance Tao, and "The Answer You're Looking for Is inside You."