1 citations · 2 across the 4 of their papers we have counts for
6 papers
On totally Lindelöf spaces
Gabriel Fernandes, Guilherme Pinto, Vinícius Rocha
The results in this paper answer three questions asked by (NOBLE, 2019) and give a partial answer to a question asked by (ALSTER, 1988). We prove that every Alster space is totally…
Partitions of topological spaces and a new club-like principle
Rodrigo Carvalho, Gabriel Fernandes, Lúcia R. Junqueira
We give a new proof of the following theorem due to W. Weiss and P. Komjath: if is a regular topological space, with character and $X \rightarrow (top ω+ 1)^{…
On Local Club Condensation
Gabriel Fernandes
We obtain results on the condensation principle called local club condensation. We prove that in extender models an equivalence between the failure of local club condensation and s…
Fake reflection
Gabriel Fernandes, Miguel Moreno, Assaf Rinot
We introduce a generalization of stationary set reflection which we call "filter reflection", and show it is compatible with the axiom of constructibility as well as with strong fo…
Inclusion modulo nonstationary
Gabriel Fernandes, Miguel Moreno, Assaf Rinot
A classical theorem of Hechler asserts that the structure is universal in the sense that for any -directed poset P with no maximal element, there is a c…
Tall cardinals in extender models
Gabriel Fernandes, Ralf Schindler
Assuming that there is no inner model with a Woodin cardinal, we obtain a characterization of -tall cardinals in extender models that are iterable. In particular we prove that i…