2 papers
math.CT2025
Equivalence via surjections
Tom Leinster
Many types of categorical structure obey the following principle: the natural notion of equivalence is generated, as an equivalence relation, by identifying with when there…
math.MG2024
Magnitude homology equivalence of Euclidean sets
Adrián Doña Mateo, Tom Leinster
Magnitude homology is an -graded homology theory of metric spaces that captures information on the complexity of geodesics. Here we address the question: when are two…