Elena Gomes

collaborators

2 papers

math.DS2025

Invariant sets for homeomorphisms of hyperbolic 3-manifolds

Elena Gomes, Santiago Martinchich, Rafael Potrie

We prove that under some assumptions on how points escape to infinity in the universal cover, homeomorphisms of hyperbolic 3-manifolds are forced to have several invariant sets (in…

math.DS2023

Indecomposable continua and the Julia sets of polynomial-like mappings

Elena Gomes

Let $f$ be a polynomial-like mapping of the sphere of degree $d \geq 2$ . We show that the Julia set $J (f)$ of $f$ cannot be the union of a finite number of proper indecomposable su…