6 citations · 10 across the 8 of their papers we have counts for
14 papers
Pettis property for Polish inverse semigroups
Karen Arana, Jerson Perez, Carlos Uzcategui
We study a property about Polish inverse semigroups similar to the classical theorem of Pettis about Polish groups. In contrast to what happens with Polish groups, not every Polish…
Topologies on the symmetric inverse semigroup
J. Perez, C. Uzcategui
The symmetric inverse semigroup on a set is the collection of all partial bijections between subsets of with composition as the algebraic operation. We study a minim…
Ideals on countable sets: a survey with questions
Carlos Uzcategui
An ideal on a set is a collection of subsets of closed under the operations of taking finite unions and subsets of its elements. Ideals are a very useful notion in topology…
On the Ellis semigroup of a cascade on a compact metric countable space
Andres Quintero, Carlos Uzcategui
Let be a compact metric countable space, let be a homeomorphism and let be its Ellis semigroup. Among other results we show that the following statements ar…
Selective separability on spaces with an analytic topology
J. Camargo, C. Uzcategui
We study two form of selective selective separability, and , on countable spaces with an analytic topology. We show several Ramsey type properties which imply . For…
Morphologic for knowledge dynamics: revision, fusion, abduction
Isabelle Bloch, Jérôme Lang, Ramón Pino Pérez +1
Several tasks in artificial intelligence require to be able to find models about knowledge dynamics. They include belief revision, fusion and belief merging, and abduction. In this…
Bases and selectors for tall families
Jan Grebik, Carlos Uzcategui
We show that the Nash-Williams theorem has a uniform version and that the Galvin theorem does not. We show that there is an tall ideal on without a Borel selecto…
Some topological and combinatorial properties preserved by inverse limits
Javier Camargo, Carlos Uzcategui
We show that the following properties are preserved under inverse limits: countable fan-tightness, q+, discrete generation and selective separability. We also present several examp…
Borel Globalizations of Partial Actions of Polish Groups
Carlos Uzcategui, Hector Pinedo
We show that the enveloping space of a partial action of a Polish group on a Polish space is a standard Borel space, that is to say, there is a topology on …
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 $…
Polish globalization of Polish group partial actions
Hector Pinedo, Carlos Uzcategui
Let be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable gro…
Continuity of the Jones' set function
Javier Camargo, Carlos Uzcategui
Given a continuum , for each , the Jones' set function is defined by $\mathcal{T}(A)=\{x\in X : \text{for each subcontinuum }K\text{ such that }x\in…
Frechet Borel Ideals with Borel orthogonal
Francisco Guevara, Carlos Uzcategui
We study Borel ideals on with the Fréchet property such its orthogonal is also Borel (where iff is finite for all and $…
Ideal games and Ramsey sets
Carlos Di Prisco, Jose G. Mijares, Carlos Uzcategui
It is shown that Matet's characterization of the Ramsey property relative to a selective co-ideal , in terms of games of Kastanas, still holds if we consider semiselec…