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math.LO2019
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…
math.LO2017
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…
math.LO2017★ 2 cited
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 …