2 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
An optimal Brouwer's fixed point theorem for discontinuous functions
Henry Adams, Florian Frick
Brouwer's fixed point theorem states that any continuous function from a closed -dimensional ball to itself has a fixed point. In 1961, Klee showed that if such a function has d…