39 citations · 65 across the 8 of their papers we have counts for
11 papers
Didactic analysis of the modality of study of the real numbers in the Degree in Mathematics
José Ginés Espín, Josep Gascón, Pedro Nicolás
To conduct a didactic analysis of the current modality of study of real numbers in the Bachelor's Degree in Mathematics, we rely on the notion of didactic paradigm and employ a nov…
Silting Theory in triangulated categories with coproducts
Pedro Nicolas, Manuel Saorin, Alexandra Zvonareva
We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in any triangulated category D with arbitrary (set-indexed) coproducts. We show that…
Generalized tilting theory
Pedro Nicolas, Manuel Saorin
We study necessary and sufficient conditions for a dg bimodule to yield triangle equivalences between (quotients of) the corresponding derived categories. This is related to recent…
Weight structures and simple dg modules for positive dg algebras
Bernhard Keller, Pedro Nicolas
Using techniques due to Dwyer-Greenlees-Iyengar we construct weight structures in triangulated categories generated by compact objects. We apply our result to show that, for a dg c…
On the (non)vanishing of some "derived" categories of curved dg algebras
Bernhard Keller, Wendy Lowen, Pedro Nicolas
Since curved dg algebras, and modules over them, have differentials whose square is not zero, these objects have no cohomology, and there is no classical derived category. For diff…
Lifting and restricting recollement data
Pedro Nicolas, Manuel Saorin
We study the problem of lifting and restricting TTF triples (equivalently, recollement data) for a certain wide type of triangulated categories. This, together with the parametriza…