Ino Loukidou

collaborators

3 papers

math.DS2026

Infinite chains of perfect fits for expanding Thurston maps

Ino Loukidou

The topological mating of two postcritically finite polynomials with dendritic Julia sets is encoded by a pair of circle laminations $Λ^{\pm}$ , whose collapse produces a sphere-fil…

math.GT2026

CaTherine wheels

Danny Calegari, Ino Loukidou

A CaTherine wheel is a surjective continuous map $f : S^{1} \to S^{2}$ such that for every closed interval $I \subset S^{1}$ the image $f (I)$ is homeomorphic to a disk, and $f (\partial I)$ …

math.GT2024

Zippers

Danny Calegari, Ino Loukidou

If $M$ is a hyperbolic 3-manifold fibering over the circle, the fundamental group of $M$ acts faithfully by homeomorphisms on a circle (the circle at infinity of the universal cove…