Posted by J. Holmer on September 23, 2007, 6:23 pm, in reply to "definition of a subbase" Let (X,T) be a topological space. Then C \subset T is a subbase for T if: For every open set U (i.e. every U \in T) and every x_0\in U, there exists a finite collection of sets V_1,...,V_n in C such that x_0\in (V_1\cap\cdots\cap V_n) \subset U. (this is LaTeX for saying that x_0 belongs to the intersection of V_1 through V_n, which is a subset of U).
Message modified by board administrator September 23, 2007, 6:29 pm
Our definition of a subbase is the following:
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