2 papers
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…
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…