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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

6 votes

Pair of curves joining opposite corners of a square must intersect---proof?

This should probably go in a comment, but I don't have enough reputation points. Note that there is a pair of connected sets in the square containing opposite pairs of corners that don't intersect. T …
Steven Frankel's user avatar