collaborators

4 papers

math.GN2023

Cardinal invariants of a meager ideal

Will Brian

Let denote the ideal of meager subsets of a topological space . We prove that if is a completely metrizable space without isolated points, then the smallest c…

math.GN2023

On Roitman's principles and

Hector Barriga-Acosta, Will Brian, Alan Dow

The Model Hypothesis (abbreviated ) and are set-theoretic axioms introduced by J. Roitman in her work on the box product problem. Answering some questions of Roitm…

math.LO2022

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…

math.GN2022

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 $…