We define the topology T generated by a basis C(B) as follows: a subset U of X is said to be open in X (...) if for each x in U, there is a basis element B in C(B) such that x in B and B subset U. That's a rewrite of a paragraph written by James Munkres in Topology,
In view of the interest shown by one or two people in my paper proposing a proof of the Goldbach and Twin Prime Conjecture, this is my re-written version: http://www.foldednumbers.co.uk/goldbach.pdf .