4 papers · 1 filter
Left and right Bousfield localization on lattices
Andrés Carnero Bravo, Shuchita Goyal, Sofía Martínez Alberga +3
The key information of a model category structure on a poset is encoded in a transfer system, which is a combinatorial gadget, originally introduced to investigate homotopy coheren…
Homotopy type of the independence complex of some categorical products of graphs
Omar Antolín Camarena, Andrés Carnero Bravo
It was conjectured by Goyal, Shukla and Singh that the independence complex of the categorical product has the homotopy type of a wedge of s…
Polyhedral joins and graph complexes
Andrés Carnero Bravo
We give a decomposition of the suspension of a polyhedral join in terms of the polyhedral smash product of the suspension of the family of pairs, and study some cases in which the…
The Forest Filtration of a Graph
Andrés Carnero Bravo
Given a graph , we define a filtration of simplicial complexes associated to , where…