AbstractBy combining ideas of homotopical algebra and of enriched category theory, we explain how two classical formulas for homotopy colimits, one arising from the work of Quillen and one arising from the work of Bousfield and Kan, are instances of general formulas for the derived functor of the weighted colimit functor
ABSTRACT. There are infinitely many variants of the notion of Kan fibration that, together with suit...
Abstract. We study homotopy limits for 2-categories using the theory of Quillen model categories. In...
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is...
By combining ideas of homotopical algebra and of enriched category theory, we explain how two classi...
AbstractBy combining ideas of homotopical algebra and of enriched category theory, we explain how tw...
Abstract. The goal of this paper is to demystify the role played by the Reedy category axioms in hom...
This book develops abstract homotopy theory from the categorical perspective with a particular focus...
We develop the theory of limits and colimits in $\infty$-categories within the synthetic framework o...
The goal of this paper is to demystify the role played by the Reedy category axioms in homotopy theo...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
This open access book offers a self-contained introduction to the homotopy theory of simplicial and ...
We introduce the basic properties of the homotopy theory of weighted maps and show that the hom func...
We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, w...
We develop a framework for computing the homology of weighted simplicial complexes with coefficients...
ABSTRACT. There are infinitely many variants of the notion of Kan fibration that, together with suit...
Abstract. We study homotopy limits for 2-categories using the theory of Quillen model categories. In...
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is...
By combining ideas of homotopical algebra and of enriched category theory, we explain how two classi...
AbstractBy combining ideas of homotopical algebra and of enriched category theory, we explain how tw...
Abstract. The goal of this paper is to demystify the role played by the Reedy category axioms in hom...
This book develops abstract homotopy theory from the categorical perspective with a particular focus...
We develop the theory of limits and colimits in $\infty$-categories within the synthetic framework o...
The goal of this paper is to demystify the role played by the Reedy category axioms in homotopy theo...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
This open access book offers a self-contained introduction to the homotopy theory of simplicial and ...
We introduce the basic properties of the homotopy theory of weighted maps and show that the hom func...
We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, w...
We develop a framework for computing the homology of weighted simplicial complexes with coefficients...
ABSTRACT. There are infinitely many variants of the notion of Kan fibration that, together with suit...
Abstract. We study homotopy limits for 2-categories using the theory of Quillen model categories. In...
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is...