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Definition 2 A homeomorphism between topological spaces \(X\) and \(Y\) is a bijective map \(f: X \to Y\) such that both \(f\) and its inverse \(f^{-1}: Y \to X\) are continuous. Explicitly:
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In his Matching Soulmates paper in the journal of Public Economic Theory, everyone is in a computer simulated dating pool, where thousands of digitally created daters rank each other. His algorithm picks "first‑order soulmates": pairs who choose each other in a stable matching. It removes them, and runs it again with those left, and you get second‑order soulmates, and so on.
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