2-Segal objects and algebras in spans

2019/05/16 by Stern, Walker H. · 1 citation
#Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1905.06671

Abstract

We define a category parameterizing Calabi-Yau algebra objects in an infinity category of spans. Using this category, we prove that there are equivalences of infinity categories relating, firstly: 2-Segal simplicial objects in C to algebra objects in Span(C); and secondly: 2-Segal cyclic objects in C to Calabi-Yau algebra objects in Span(C).

Cited by

• 2-Segal sets and pseudomonoids in the bicategory of spans

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