Gro-Tsen 7 months ago
I don't remember where I learned these facts, but they're fun:
‣ One can write the unit square [0,1]² as the union of two disjoint subsets P,Q, ❋both connected❋, with (0,0) and (1,1) in P, and (0,1) and (1,0) in Q.
‣ This is not possible with “path connected” instead.
PROOFS: 🧵⤵️…
•1/12
add a skeleton here at some point