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You and OP are using the word continuous in two different contexts. Generally one would not say that the integers with the trivial topology is continuous. It’s
by skhunted 3y ago
You and OP are using the word continuous in two different contexts. Generally one would not say that the integers with the trivial topology is continuous. It’s a discrete space with a topology. But when someone says a space is continuous generally they mean not discrete.
- mathgradthrow 3y agoIf you use the word topology as if you know what you are talking about, you sacrifice this benefit of the doubt.