Alan Dow

activity

20012026

most citedThe Katowice problem and autohomeomorphisms of

ω^{*}

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

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math.GN2026

A parametrized $♢$ for the Laver property and nontrivial automorphisms of $P (ω) / Fin$

Will Brian, Alan Dow

We introduce a new parametrized diamond principle denoted $♢ (LP)$ . This principle is akin to the parametrized diamonds of Moore, Hrušák, and Džamonja, each of w…

math.GN2025

$M^{}$ , $N^{}$ , and $H^{*}$

Will Brian, Alan Dow, Klaas Pieter Hart

Let $M = N \times [0, 1]$ . The natural projection $π : M \to N$ , which sends $(n, x)$ to $n$ , induces a projection mapping $π^*: \mathbb{M}^*…

math.GN2024

$C$ -embedding, Lindelöfness, and Čech-completeness

Alan Dow, Klaas Pieter Hart, Jan van Mill +1

We show that in the class of Lindelöf Čech-complete spaces the property of being $C$ -embedded is quite well-behaved. It admits a useful characterization that can be used to show th…

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.GN2013★ 6 cited

The Katowice problem and autohomeomorphisms of $ω^{*}$

David Chodounsky, Alan Dow, Klaas Pieter Hart +1

We show that the existence of a homeomorphism between $ω_{0}^{*}$ and $ω_{1}^{*}$ entails the existence of a non-trivial autohomeomorphism of $ω_{0}^{*}$ .

A parametrized ♢ for the Laver property and nontrivial automorphisms of P(ω)/Fin

M∗, N∗, and H∗

C-embedding, Lindelöfness, and Čech-completeness

On Roitman's principles MH and Δ

The Katowice problem and autohomeomorphisms of ω∗

A parametrized $♢$ for the Laver property and nontrivial automorphisms of $P (ω) / Fin$

$M^{}$ , $N^{}$ , and $H^{*}$

$C$ -embedding, Lindelöfness, and Čech-completeness

On Roitman's principles $MH$ and $Δ$

The Katowice problem and autohomeomorphisms of $ω^{*}$