Every 2-Segal space is unital

DOI10.1142/S0219199720500558zbMath1452.18027arXiv1905.09580OpenAlexW3041652116MaRDI QIDQ5145388

May U. Proulx, Mark Weber, Richard Garner, Kock Joachim, Matthew Feller

Publication date: 20 January 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09580

zbMATH Keywords

decomposition space2-Segal space

Mathematics Subject Classification ID

Simplicial sets, simplicial objects (18N50)

Related Items

Quasi-2-Segal sets ⋮ Weak Cartesian properties of simplicial sets ⋮ 2-Segal objects and the Waldhausen construction ⋮ The incidence comodule bialgebra of the Baez-Dolan construction ⋮ 2-Segal objects and algebras in spans ⋮ Decomposition-space slices are toposes ⋮ Comparison of Waldhausen constructions ⋮ Möbius functions of directed restriction species and free operads, via the generalised Rota formula ⋮ Frobenius objects in the category of spans

Cites Work

• Unnamed Item
• Decomposition spaces, incidence algebras and Möbius inversion. I: Basic theory
• Higher Segal Spaces
• Higher Topos Theory (AM-170)