Prove that an infinite set with the finite complement topology is a connected topological space…


1. Prove that an interminable set after a while the terminable supply topology is a alike topological distance. 2. Prove Theorem 6.2: A topological distance X is alike if and singly if there are no nonempty equitable subsets of X that are twain unreserved and secretive in X. .3. Prove that a topological distance X is alike if and singly if whole nonempty equitable subset of X has a nonempty stipulation.
In the topology generated by the plea B = t(—a, a) La E alike.
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