4 citations · 12 across the 12 of their papers we have counts for
10 papers · 1 filter
On Borel -algebras of topologies generated by two-point selections
S. Garcia-Ferreira
A two-point selection on a set is a function such that for every . It is known that every two-point selection induced…
Families of retractions and families of closed subsets on compact spaces
S. Garcia-Ferreira, C. Yescas Aparicio
It is know that the Valdivia compact spaces can be characterized by a special family of retractions called -skeleton (see \cite{kubis1}). Also we know that there are compact spa…
-skeletons on the Alexandroff duplicate
S. Garcia-Ferreira, C. Yescas-Aparicio
An -skeleton on a compact space is a family of continuous retractions having certain rich properties. The -skeletons have been used to characterized the Valdivia compact spac…
Finite powers of selectively pseudocompact groups
S. Garcia-Ferreira, A. H. Tomita
A space is called {\it selectively pseudocompact} if for each sequence of pairwise disjoint nonempty open subsets of there is a sequence $(x_{n}…
Cardinality of the Ellis semigroup on compact metric countable spaces
S. Garcia-Ferreira, Y. Rodriguez-Lopez, C. Uzcategui
Let be the Ellis semigroup of a dynamical system where is a compact metric space. We analyze the cardinality of for a compact countable metric space $…
Categorical properties on the hyperspace of nontrivial convergent sequences
S. Garcia-Ferreira, R. Rojas-Hernandez, Y. F. Ortiz-Castillo
In this paper, we shall study categorial properties of the hyperspace of all nontrivial convergent sequences of a Freéch-Urysohn space , this hyperspace is eq…
-Ideals and outer measures on the real line
S. García-Ferreira, A. H. Tomita, Y. F. Ortiz-Castillo
A {\it weak selection} on is a function such that for each . In this article, w…
Comparing Fréchet-Urysohn filters with two pre-orders
S. Garcia-Ferreira, J. E. Rivera-Gómez
A filter $\F$ on $\w$ is called Fréchet-Urysohn if the space with only one non-isolated point $\w \cup \{\F\}$ is a Fréchet-Urysohn space, where the neighborhoods of the non-isolat…
Connectedness like properties on the hyperspace of convergent sequences
S. Garcia-Ferreira, R. Rojas-Hernandez
This paper is a continuation of the work done in \cite{sal-yas} and \cite{may-pat-rob}. We deal with the Vietoris hyperspace of all nontrivial convergent sequences $\mathcal{S}_c(X…
Families of continuous retractions and function spaces
S. Garcia-Ferreira, R. Rojas-Hernandez
In this article, we mainly study certain families of continuous retractions (-skeletons) having certain rich properties. By using monotonically retractable spaces we solve a que…