5 citations · 7 across the 4 of their papers we have counts for
6 papers
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…
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…
On local fixed or periodic point properties
Alejandro Illanes, Pawł Krupski
A space X has the local fixed point property LFPP, (local periodic point property LPPP) if it has an open basis such that, for each , the closure $\…
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…