Which of the following statements about a topological space is false? (A) Every topological space is Hausdorff (B) The intersection of any finite number of open sets is open (C) The empty set and the entire space are both open (D) The union of any collection of open sets is open
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(A) Every topological space is Hausdorff: - A Hausdorff space is a topological space where for every pair of distinct points, there exist disjoint open sets containing each point. - Not all topological spaces are Hausdorff. For example, the trivial topology on a Show more…
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