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math.GN2023
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…
math.GN2022★ 1 cited
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)^{…