Higher Segal structures in algebraic $K$-theory

Published 19 Sep 2017 in math.AT, math.CT, and math.KT | (1709.06510v1)

Abstract: We introduce higher dimensional analogues of simplicial constructions due to Segal and Waldhausen, respectively producing the direct sum and algebraic $K$-theory spectra of an exact category. We then investigate their fibrancy properties, based on the formalism of higher Segal spaces by Dyckerhoff-Kapranov.

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Thomas Poguntke

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