4 papers
Reconstruction of a coloring from its homogeneous sets
Claribet Piña, Carlos Uzcátegui
We study a reconstruction problem for colorings. Given a finite or countable set , a coloring on is a function , where is the collection of…
Banach-Stone-like results for combinatorial Banach spaces
Christina Brech, Claribet Piña
We show that under a certain topological assumption on two compact hereditary families $\F$ and $\G$ on some infinite cardinal , the corresponding combinatorial spaces $X_\F$ an…
Free sets for a set-mapping relative to a family of sets
Antonio Avilés, Claribet Piña
Given a family of subsets of , we try to compute the least natural number such that for every function $S:[\aleph_n]^{<ω}\longrightarrow [\aleph_n…
On topological properties of families of finite sets
Claribet Piña, Carlos Uzcátegui
We present results about the Cantor-Bendixson index of some subspaces of a uniform family F of finite subsets of natural numbers with respect to the lexicographic order topology. A…