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math.CT2018
The formalism of Segal sections
Edouard Balzin
Given a family of model categories , we associate to it a homotopical category of derived, or Segal, sections that models the higher-categ…
math.CT2018★ 3 cited
Reedy Model Structures in Families
Edouard Balzin
Given a family of model categories over a Reedy category, we outline a set of conditions which lead to the existence of a Reedy model structure on the category…
math.CT2014★ 3 cited
Derived sections of Grothendieck fibrations and the problems of homotopical algebra
Edouard Balzin
The description of algebraic structure of n-fold loop spaces can be done either using the formalism of topological operads, or using variations of Segal's -spaces. The formalism…