11 citations · 17 across the 5 of their papers we have counts for
Showing math.ATShow all
3 papers · 1 filter
math.AT2014★ 1 cited
The hammock localization preserves homotopies
Oriol Raventós
The hammock localization provides a model for a homotopy function complex in any Quillen model category. We prove that a homotopy between a pair of morphisms induces a homotopy bet…
math.AT2014★ 3 cited
Comparing localizations across adjunctions
Carles Casacuberta, Oriol Raventós, Andrew Tonks
We show that several apparently unrelated formulas involving left or right Bousfield localizations in homotopy theory are induced by comparison maps associated with pairs of adjoin…
math.AT2013★ 2 cited
Transfinite Adams representability
Fernando Muro, Oriol Raventós
In a well generated triangulated category T, given a regular cardinal a, we consider the following problems: given a functor from the category of a-compact objects to abelian group…