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math.AT2019
Homotopy-coherent algebra via Segal conditions
Hongyi Chu, Rune Haugseng
Many homotopy-coherent algebraic structures can be described by Segal-type limit conditions determined by an "algebraic pattern", bywhich we mean an -category equipped with…
math.AT2019
Segal spaces, spans, and semicategories
Rune Haugseng
We show that Segal spaces, and more generally category objects in an -category , can be identified with associative algebras in the double -category of…