A. Illanes

activity

20182025

collaborators

4 papers

math.DS2025

Towards the complete classification of fans

Iztok Banič, Goran Erceg, Alejandro Illanes +3

A fan is an arcwise-connected continuum, which is hereditarily unicoherent and has exactly one ramification point. Many of the known examples of fans were constructed as 1-dimensio…

math.GN2022

Diagonals separating the square of a continuum

Alejandro Illanes, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano +1

A metric continuum $X$ is indecomposable if it cannot be put as the union of two of its proper subcontinua. A subset $R$ of $X$ is said to be continuumwise connected provided that…

math.GN2022

The hyperspace of non-blockers of singletons, all the possible examples

Alejandro Illanes, Benjamin Vejnar

Given a metric continuum $X$ , a nonempty proper closed subspace $B$ of $X$ , does not block a point $p \in X ∖ B$ provided that the union of all subcontinua of $X$ containing…

math.GN2018

Connected neighborhoods in Cartesian products of solenoids

Jan P. Boroński, Alejandro Illanes, Emanuel R. Márquez

Given a collection of pairwise co-prime integers , greater than $1$ , we consider the product $Σ = Σ_{m_{1}} \times \dots \times Σ_{m_{r}}$ , where each $Σ_{m_{i…