1 citations · 3 across the 6 of their papers we have counts for
6 papers
A new topological generalization of descriptive set theory
Iván Ongay-Valverde, Franklin D. Tall
We introduce a new topological generalization of the -projective hierarchy, not limited to Polish spaces. Earlier attempts have replaced by , for regular uncounta…
Ken's colorful questions
Ivan Ongay-Valverde
The paper surveys some questions concerning \emph{coloring axioms} which grew out of the discussions the author had with his PhD advisor Ken Kunen.
Sets of real numbers closed under Turing equivalence: Applications to fields, orders and automorphisms
Ivan Ongay-Valverde
In the first half of this paper, we study the way that sets of real numbers closed under Turing equivalence sit inside the real line from the perspective of algebra, measure and or…
Effective Localization number: building -surviving degrees
Iván Ongay-Valverde, Noah Schweber
We introduce and study effective versions of the localization numbers introduced by Newelski and Roslanowski (cite in paper). We show that proper hierarchies are produced, and that…
Splitting Localization and Prediction Numbers
Iván Ongay-Valverde
In this paper the work done by Newelski and Roslanowski is revisited to solve a question done by Blass about one of the possible evasion and prediction numbers. This led to define…
Computable analogs of cardinal characteristics: Prediction and Rearrangement
Iván Ongay-Valverde, Paul Tveite
There has recently been work by multiple groups in extracting the properties associated with cardinal invariants of the continuum and translating these properties into similar anal…