Unifies decomposition spaces and 2-Segal spaces via active-inert factorization, path space criterion, and edgewise subdivision, with examples from outer face complexes.
Young, Hall algebras via 2-Segal spaces , this volume, arXiv:2409.19384 [math.CT]
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The decomposition space perspective
Unifies decomposition spaces and 2-Segal spaces via active-inert factorization, path space criterion, and edgewise subdivision, with examples from outer face complexes.