The span functor from double ∞-categories to ∞-categories admits a right adjoint given by squares, yielding new proofs of equivalences among the Q-, S-, cobordism, and squares models of algebraic K-theory.
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The span-squares adjunction
The span functor from double ∞-categories to ∞-categories admits a right adjoint given by squares, yielding new proofs of equivalences among the Q-, S-, cobordism, and squares models of algebraic K-theory.