3 papers
math.MG2025
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.CO2021
Vertex numbers of simplicial complexes with free abelian fundamental group
Florian Frick, Matt Superdock
We show that the minimum number of vertices of a simplicial complex with fundamental group is at most and at least . For the upper bound, we use…
math.FA2019
A nonlinear Lazarev-Lieb theorem: -orthogonality via motion planning
Florian Frick, Matt Superdock
Lazarev and Lieb showed that finitely many integrable functions from the unit interval to can be simultaneously annihilated in the inner product by a smooth func…