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2-Segal objects and algebras in spans (1905.06671v1)
Published 16 May 2019 in math.AT and math.CT
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).
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