3 papers
math.CT2026
Enriched categories, real metrics and Lorentz manifolds
Marco Grandis
This expository article brings together two subjects: generalised metrics based on enriched categories, on the one hand, and Lorentz manifolds, on the other, at the price of dealin…
math.AT2026
Weighted algebraic topology, II (Real valued metrics)
Marco Grandis
Extending the `metric spaces' of Lawvere, we study `real metrics', with values in the extended real line. Formally, this ordered set is a symmetric monoidal closed category, and ou…
math.AT2024
A note on the smash product and regular associativity
Marco Grandis
This note is about the smash product of pointed topological spaces, without relying on some convenient subcategory. We deal with its partial associativity properties and their conn…