What are the closed sets in a finite space with the finite complement topology? What are the closed sets in a infinite space with the finite complement topology?
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Originally Posted by bkzyankeechic What are the closed sets in a finite space with the finite complement topology? Come on: Spoiler: If is finite then given any we have that is finite and thus is open. Thus, is discrete...sooo. What are the closed sets in a infinite space with the finite complement topology Come on (with equal exasperation): Spoiler: If is infinite and is closed then for some open but by definition this means that is finite
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