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Is it possible to have a clopen basis for a non-discrete topological space?
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I constructed a proof for it being impossible, but i'm not very convinced of wether its logic is right. The setting is:
Let B subset Ω be an open basis for the topological space T=X×Ω such that, for every s in Ω, we have that s' is open. Can T be non-discrete?
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