Search
Search Results
-
On Ding Projective Complexes
In the paper, Ding projective modules and Ding projective complexes are considered. In particular, it is proven that Ding projective complexes are...
-
Bousfield Localisation and Colocalisation of One-Dimensional Model Structures
We give an account of Bousfield localisation and colocalisation for one-dimensional model categories—ones enriched over the model category of...
-
Tensor-triangular fields: ruminations
We examine the concept of field in tensor-triangular geometry. We gather examples and discuss possible approaches, while highlighting open problems....
-
Derived completion for comodules
The objective of this paper is to introduce and study completions and local homology of comodules over Hopf algebroids, extending previous work of...
-
Cofibrantly Generated Lax Orthogonal Factorisation Systems
The present note has three aims. First, to complement the theory of cofibrant generation of algebraic weak factorisation systems ( awfs s) to cover...
-
Six-functor-formalisms and fibered multiderivators
We develop the theory of (op)fibrations of 2-multicategories and use it to define abstract six-functor-formalisms. We also give axioms for...
-
Auslander–Reiten Sequences, Brown–Comenetz Duality, and the K(n)-local Generating Hypothesis
In this paper, we construct a version of Auslander–Reiten sequences for the K ( n )-local stable homotopy category. In particular, the role of the...
-
Semigroup Actions on Sets and the Burnside Ring
In this paper we discuss some enlargements of the category of sets with semigroup actions and equivariant functions. We show that these enlarged...
-
A note on model (co)slice categories
There are various adjunctions between model (co)slice categories. The author gives a proposition to characterize when these adjunctions are Quillen...
-
Quasicategories of Frames of Cofibration Categories
We show that the quasicategory of frames of a cofibration category, introduced by the second-named author, is equivalent to its simplicial...
-
Fibrations of Ordered Groupoids and the Factorization of Ordered Functors
We investigate canonical factorizations of ordered functors of ordered groupoids through star-surjective functors. Our main construction is a...
-
Rigidification of Algebras Over Essentially Algebraic Theories
Badzioch and Bergner proved a rigidification theorem saying that each homotopy simplicial algebra is weakly equivalent to a simplicial algebra. The...
-
A Colimit Decomposition for Homotopy Algebras in Cat
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is weakly equivalent to a strict algebra. In...
-
The Fibre of a Pinch Map in a Model Category
In the category of pointed topological spaces, let F be the homotopy fibre of the pinching map X ∪ CA → X ∪ CA / X from the map** cone on a...
-
The Bousfield lattice of a triangulated category and stratification
For a tensor triangulated category which is well generated in the sense of Neeman, it is shown that the collection of Bousfield classes forms a set....
-
Applications of a Parametric Oka Principle for Liftings
A parametric Oka principle for liftings, recently proved by Forstnerič, provides many examples of holomorphic maps that are fibrations in a model...