2 citations · 6 across the 17 of their papers we have counts for
27 papers
The Borel partition spectrum at successors of singular cardinals
Will Brian
Assuming that does not exist, we prove that if there is a partition of into Borel sets, then there is also a partition of into $\alep…
Elementary submodels, coding strategies, and an infinite real number game
Will Brian, Steven Clontz
Matthew Baker investigated, in previous work, an elegant, infinite-length game that may be used to study subsets of real numbers. We present two accessible examples of how an impor…
First-countable Lindelöf scattered spaces
Taras Banakh, Will Brian, Alejandro Ríos-Herrejón
We study the class of first-countable Lindelöf scattered spaces, or "FLS" spaces. While every FLS space is homeomorphic to a scattered subspace of , the class of $…
Partitioning the real line into Borel sets
Will Brian
For which infinite cardinals is there a partition of the real line into precisely Borel sets? Hausdorff famously proved that there is a partition of …
Covering versus partitioning with the Cantor space
Will Brian
What topological spaces can be partitioned into copies of the Cantor space ? An obvious necessary condition is that a space can be partitioned into copies of only if it…
Combinatorial and number-theoretic properties of generic reals
Will Brian, Mohammad Golshani
We discuss some properties of Cohen and random reals. We show that they belong to any definable partition regular family, and hence they satisfy most "largeness" properties studied…