3 papers
math.CT2024
Towards a General Theory of Dependent Sums
Peter Bonart
We introduce dependent adders. A dependent adder has for every a way of adding together many elements of . We provide examples from many disparate branches of…
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…