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arxiv: 1709.06510 · v1 · pith:2F4X6AW6new · submitted 2017-09-19 · 🧮 math.AT · math.CT· math.KT

Higher Segal structures in algebraic K-theory

Thomas Poguntke This is my paper
classification 🧮 math.AT math.CTmath.KT
keywords highersegalalgebraictheoryanaloguescategoryconstructionsdimensional
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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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Cited by 2 Pith papers

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    S_•-construction on stable proto-Waldhausen squares categories produces 2-Segal spaces.

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    Unifies decomposition spaces and 2-Segal spaces via active-inert factorization, path space criterion, and edgewise subdivision, with examples from outer face complexes.