Higher Segal structures in algebraic K-theory

2017/09/19 by Thomas Poguntke, Poguntke, Thomas · 2 citations
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.1709.06510

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.

Cited by

• Coskeletality and the higher Segal conditions
• Higher symmetries in abstract stable homotopy theories

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