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Open in Damus

they don’t tell you that virtually every concept surrounding continuity works on functions from Q to Q. they don’t tell you this because they want you to be ignorant and afraid.

YODL @YODL 1769182794

Another thought-provoking math post 🙌
I suppose the usual epsilon delta formulation holds... What are the ways in which it fails?!

heine borel and anything relying on compactness fails. weirdest/coolest result is IVT fails too, which is bizarre because on R continuity is strictly stronger than IVP, but in dense-but-not-complete R that flips.