Will Brian

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math.GN2023

Cardinal invariants of a meager ideal

Will Brian

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

math.GN2023

On Roitman's principles $MH$ and $Δ$

Hector Barriga-Acosta, Will Brian, Alan Dow

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

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 $T_{3}$ FLS space is homeomorphic to a scattered subspace of $Q$ , the class of $…

Cardinal invariants of a meager ideal

On Roitman's principles MH and Δ

First-countable Lindelöf scattered spaces

On Roitman's principles $MH$ and $Δ$