Add to ORKGWe explain how the notion of homotopy colimits gives rise to that of mapping spaces, even in categories which are not simplicial. We apply the technique of mode
AbstractA domain representation of a topological space X is a function, usually a quotient map, from...
We construct cellular homotopy theories for categories of simplicial presheaves on small Grothendiec...
AbstractIn [6] Quillen showed that the singular functor and the realization functor have certain pro...
AbstractGiven any model category, or more generally any category with weak equivalences, its simplic...
We construct a category of short hammocks and show that it has the weak homotopy type of mapping spa...
AbstractWe find settings in which it is possible to resolve a topological space by simplicial spaces...
In a sense, noncommutative localization is at the center of homotopy theory, or even more accurately...
This paper explores the relationship amongst the various simplicial and pseudosim-plicial objects ch...
In this monograph we give an exposition of some recent development in homotopy theory. It relates to...
International audienceThis paper endeavors to show the possible application to model theory of conce...
its simplicial localization yields a “homotopy theory of homotopy theories. ” In this paper we show ...
It is known that, in a locally presentable category, localization exists with respect to every set o...
We construct cellular homotopy theories for categories of simplicial presheaves on small Grothendiec...
Abstract. We construct models for the motivic homotopy category based on simplicial functors from sm...
In this note, we prove that localization of spaces preserves epimorphisms and monomorphisms in homot...
AbstractA domain representation of a topological space X is a function, usually a quotient map, from...
We construct cellular homotopy theories for categories of simplicial presheaves on small Grothendiec...
AbstractIn [6] Quillen showed that the singular functor and the realization functor have certain pro...
AbstractGiven any model category, or more generally any category with weak equivalences, its simplic...
We construct a category of short hammocks and show that it has the weak homotopy type of mapping spa...
AbstractWe find settings in which it is possible to resolve a topological space by simplicial spaces...
In a sense, noncommutative localization is at the center of homotopy theory, or even more accurately...
This paper explores the relationship amongst the various simplicial and pseudosim-plicial objects ch...
In this monograph we give an exposition of some recent development in homotopy theory. It relates to...
International audienceThis paper endeavors to show the possible application to model theory of conce...
its simplicial localization yields a “homotopy theory of homotopy theories. ” In this paper we show ...
It is known that, in a locally presentable category, localization exists with respect to every set o...
We construct cellular homotopy theories for categories of simplicial presheaves on small Grothendiec...
Abstract. We construct models for the motivic homotopy category based on simplicial functors from sm...
In this note, we prove that localization of spaces preserves epimorphisms and monomorphisms in homot...
AbstractA domain representation of a topological space X is a function, usually a quotient map, from...
We construct cellular homotopy theories for categories of simplicial presheaves on small Grothendiec...
AbstractIn [6] Quillen showed that the singular functor and the realization functor have certain pro...