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A cobordism model for Waldhausen K‐theory

Raptis, George ; Steimle, Wolfgang


We study a categorical construction called the cobordism category, which associates to each Waldhausen category a simplicial category of cospans. We prove that this construction is homotopy equivalent to Waldhausen's S center dot-construction and therefore it defines a model for Waldhausen K-theory. As an example, we discuss this model for A-theory and show that the cobordism category of homotopy ...


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