3 papers
math.CT2023
A Criterion for the Monoid Axiom in Enriched Bousfield Localizations
Peter Bonart
This paper proves a criterion for verifying the monoid axiom in enriched left Bousfield localizations.
math.AT2023
Rational Enriched Motivic Spaces
Peter Bonart
Enriched motivic -spaces are introduced and studied in this paper, where is an additive category of correspondences. They are linear counterparts of motivi…
math.AG2023
Triangulated Categories of Big Motives via Enriched Functors
Peter Bonart
Based on homological algebra of Grothendieck categories of enriched functors, two models for Voevodsky's category of big motives with reasonable correspondences are given in this p…