By 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
Badzioch showed that in the category of simplicial sets each homotopy algebra of a Lawvere theory is...
Abstract. We show that the composition of a homotopically meaningful ‘geometric realization ’ (or si...
77 pages, comments are welcomeWe study four types of (co)cartesian fibrations of $(\infty)$-bicatego...
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...
We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, w...
We introduce the basic properties of the homotopy theory of weighted maps and show that the hom func...
This open access book offers a self-contained introduction to the homotopy theory of simplicial and ...
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...
Abstract. We show that the composition of a homotopically meaningful ‘geometric realization ’ (or si...
77 pages, comments are welcomeWe study four types of (co)cartesian fibrations of $(\infty)$-bicatego...
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...
We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, w...
We introduce the basic properties of the homotopy theory of weighted maps and show that the hom func...
This open access book offers a self-contained introduction to the homotopy theory of simplicial and ...
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...
Abstract. We show that the composition of a homotopically meaningful ‘geometric realization ’ (or si...
77 pages, comments are welcomeWe study four types of (co)cartesian fibrations of $(\infty)$-bicatego...
DOI
Add to ORKG