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Combinatorial properties of infinite sets. This is a corner-point of set theory and combinatorics.

3 votes

Edge-adding conjecture for graphs

For a connected counterexample you could take the Rado graph (https://en.wikipedia.org/wiki/Rado_graph). It shouldn't be too hard to prove that when you add an edge, the resulting graph will still sat …
Vilas Winstein's user avatar