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4 papers
On covering properties of end and ray spaces
Rodrigo Rey Carvalho, Matheus Duzi, Vinicius de Oliveira Rodrigues
We provide new results on combinatorial characterizations of covering properties in end spaces and ray spaces. In particular, we characterize the Lindelöf degree, the extent, the R…
On Products of -sets
Rodrigo Rey Carvalho, Vinicius de Oliveira Rodrigues
We prove the consistency of the existence of a -set whose square is not a -set and that if there is a -set, then there exists a -set whose all finite powers are -set…
Diamond on ladder systems and countably metacompact topological spaces
Rodrigo Carvalho, Tanmay Inamdar, Assaf Rinot
The property of countable metacompactness of a topological space gets its importance from Dowker's 1951 theorem that the product of a normal space X with the unit interval is again…
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)^{…