5 citations · 7 across the 4 of their papers we have counts for
4 papers · 1 filter
Diagonals separating the square of a continuum
Alejandro Illanes, Verónica Martínez-de-la-Vega, Jorge M. Martínez-Montejano +1
A metric continuum is indecomposable if it cannot be put as the union of two of its proper subcontinua. A subset of is said to be continuumwise connected provided that…
The hyperspace of non-blockers of singletons, all the possible examples
Alejandro Illanes, Benjamin Vejnar
Given a metric continuum , a nonempty proper closed subspace of , does not block a point provided that the union of all subcontinua of containing…
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 , we consider the product , where each $Σ_{m_{i…
Symmetric Products and Q-manifolds
Alejandro Illanes, Sergio Macias, Sam B. Nadler
An example is given of a compact absolute retract that is not a Hilbert cube manifold but whose second symmetric porduct is the Hilbert cube. A factor theorem is given for nth symm…