3 papers
math.MG2026
Quantifying discontinuity
Henry Adams, Florian Frick, Michael Harrison +2
Given a compact space that does not admit an embedding (an injective continuous function) into , we study the ''degree'' of discontinuity that any injective funct…
math.MG2025
Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
Henry Adams, Johnathan Bush, Nate Clause +13
We explore emerging relationships between the Gromov--Hausdorff distance, Borsuk--Ulam theorems, and Vietoris--Rips simplicial complexes. The Gromov--Hausdorff distance between two…
math.AT2024
Persistent equivariant cohomology
Henry Adams, Evgeniya Lagoda, Michael Moy +2
This article has two goals. First, we hope to give an accessible introduction to persistent equivariant cohomology. Given a topological group acting on a filtered space, persis…