We develop a basic theory of cocartesian fibrations between Segal spaces (in line with that of arxiv:2102.05190), and use it to provide a proof of a theorem of Barwick (the main result of arxiv:1404.0108). Note: This work was originally the author's master's thesis, submitted 21.09.2020.Comment: Comments welcome
Given a span of $\infty$-categories one of whose legs is a right fibration and the other a cofibrati...
We define a notion of $\infty$-properads that generalises $\infty$-operads by allowing operations wi...
In this thesis we develop a theory of weakly enriched categories . By 'weakly' we mean an enriched c...
We propose a construction of the monoidal envelope of $\infty$-operads in the model of Segal dendroi...
In this thesis we construct the universal coCartesian fibration , which (strictly) classifies coCart...
Many homotopy-coherent algebraic structures can be described by Segal-type limit conditions determin...
We show that we can rigidify homotopy coherent comodules in connective modules over the Eilenberg-Ma...
Theoretical thesis.Bibliography: pages 159-162.1. Introduction -- 2. Fibred 2-categories and bicateg...
59 pages, v2.We prove a universal property for $\infty$-categories of spans in the generality of Bar...
We consider Frobenius objects in the category Span, where the objects are sets and the morphisms are...
We survey the theory of Hopf monads on monoidal categories, and present new examples and application...
This is the first part of a series of papers studying categories defined over the Novikov ring arisi...
Many special classes of simplicial sets, such as the nerves of categories or groupoids, the 2-Segal ...
We show that various combinatorial invariants of matroids such as Chow rings and Orlik--Solomon alge...
We show that the 2-Segal spaces (also called decomposition spaces) of Dyckerhoff-Kapranov and G\'alv...
Given a span of $\infty$-categories one of whose legs is a right fibration and the other a cofibrati...
We define a notion of $\infty$-properads that generalises $\infty$-operads by allowing operations wi...
In this thesis we develop a theory of weakly enriched categories . By 'weakly' we mean an enriched c...
We propose a construction of the monoidal envelope of $\infty$-operads in the model of Segal dendroi...
In this thesis we construct the universal coCartesian fibration , which (strictly) classifies coCart...
Many homotopy-coherent algebraic structures can be described by Segal-type limit conditions determin...
We show that we can rigidify homotopy coherent comodules in connective modules over the Eilenberg-Ma...
Theoretical thesis.Bibliography: pages 159-162.1. Introduction -- 2. Fibred 2-categories and bicateg...
59 pages, v2.We prove a universal property for $\infty$-categories of spans in the generality of Bar...
We consider Frobenius objects in the category Span, where the objects are sets and the morphisms are...
We survey the theory of Hopf monads on monoidal categories, and present new examples and application...
This is the first part of a series of papers studying categories defined over the Novikov ring arisi...
Many special classes of simplicial sets, such as the nerves of categories or groupoids, the 2-Segal ...
We show that various combinatorial invariants of matroids such as Chow rings and Orlik--Solomon alge...
We show that the 2-Segal spaces (also called decomposition spaces) of Dyckerhoff-Kapranov and G\'alv...
Given a span of $\infty$-categories one of whose legs is a right fibration and the other a cofibrati...
We define a notion of $\infty$-properads that generalises $\infty$-operads by allowing operations wi...
In this thesis we develop a theory of weakly enriched categories . By 'weakly' we mean an enriched c...