title: subbasis, basis, topology • Take a set XX • Let S\mathscr S be a set of subsets of XX which covers XX. Then S\mathscr S is a topological subbasis • Let B\mathscr B be the set of finite unions of S\mathscr S. Then S\mathscr S is a topological basis (see subbasis to basis) • S\mathscr S and B\mathscr B generate the same topology Referenced by: