by Alex Mennen 565 days ago | Scott Garrabrant and Stuart Armstrong like this | link | parent I haven’t checked that argument carefully, but that sounds like it should give you $$X'$$ with a continuous bijection $$\phi:X'\rightarrow[0,1]^{X'}$$, which might not necessarily be a homeomorphism.

 by Stuart Armstrong 565 days ago | link Yes, you’re right. reply

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