W. Brian

activity

20152022

most citedEvery compact group can have a non-measurable subgroup

2 citations · 2 across the 6 of their papers we have counts for

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4 papers · 1 filter

math.GN2021

Covering versus partitioning with the Cantor space

Will Brian

What topological spaces can be partitioned into copies of the Cantor space $2^{ω}$ ? An obvious necessary condition is that a space can be partitioned into copies of $2^{ω}$ only if it…

math.GN2019

The isomorphism class of the shift map

Will Brian

The \emph{shift map} $σ$ is the self-homeomorphism of $ω^{*} = β ω ∖ ω$ induced by the successor function $n \mapsto n + 1$ on $ω$ . We prove that the isomorphism classes of $σ$ a…

math.GN2018

Universal flows and automorphisms of $P (ω) / fin$

Will Brian

We prove that for every countable discrete group $G$ , there is a $G$ -flow on $ω^{*}$ that has every $G$ -flow of weight $\leq ℵ_{1}$ as a quotient. It follows that, under the Con…

math.GN2016

Shift-preserving maps on $ω^{*}$

Will Brian

The shift map $σ$ on $ω^{*}$ is the continuous self-map of $ω^{*}$ induced by the function $n \mapsto n + 1$ on $ω$ . Given a compact Hausdorff space $X$ and a continuous function $f: X \…

Covering versus partitioning with the Cantor space

The isomorphism class of the shift map

Universal flows and automorphisms of P(ω)/fin

Shift-preserving maps on ω∗

Universal flows and automorphisms of $P (ω) / fin$

Shift-preserving maps on $ω^{*}$