F. Galvin

activity

20112023

most citedBaire spaces and infinite games

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2023

Factoring complete graphs and hypergraphs into factors with few maximal cliques

Paul Erdős, David P. Galvin, Fred Galvin +1

For integers $r, t \geq 2$ and $n \geq 1$ let $f_{r} (t, n)$ be the minimum, over all factorizations of the complete $r$ -uniform hypergraph of order $n$ into $t$ factors $H_{1}, \dots, H_{t}$ , of…

math.LO2014★ 1 cited

Baire spaces and infinite games

Fred Galvin, Marion Scheepers

It is well known that if the nonempty player of the Banach-Mazur game has a winning strategy on a space, then that space is Baire in all powers even in the box topology. The conver…

math.LO2011

Borel's Conjecture in Topological Groups

Fred Galvin, Marion Scheepers

We introduce a natural generalization of Borel's Conjecture. For each infinite cardinal number $κ$ , let {\sf BC} $_{κ}$ denote this generalization. Then $BC_{ℵ_{0}}$ is equiv…