2-Segal sets and the Waldhausen construction

DOI10.1016/j.topol.2017.12.009zbMath1422.55036arXiv1609.02853OpenAlexW2963781975MaRDI QIDQ684016

Claudia I. Scheimbauer, Viktoriya Ozornova, Martina Rovelli, Angélica M. Osorno, Julia E. Bergner

Publication date: 9 February 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.02853

zbMATH Keywords

cobordism categoriesdouble categories2-Segal spacespartial monoidsWaldhausen \(S_\bullet\)-construction

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Algebraic (K)-theory of spaces (19D10)

Related Items

Higher Segal spaces via higher excision, 2-Segal spaces as invertible infinity-operads, Yoneda lemma for simplicial spaces, Twisted arrow categories, operads and Segal conditions, 2-Segal objects and the Waldhausen construction, Incidence bicomodules, Möbius inversion and a Rota formula for infinity adjunctions, The edgewise subdivision criterion for 2-Segal objects, Comparison of Waldhausen constructions, Möbius functions of directed restriction species and free operads, via the generalised Rota formula, The unit of the total décalage adjunction, Frobenius objects in the category of spans

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