Alan Dow

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20242026

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math.GN2026

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

Will Brian, Alan Dow

We introduce a new parametrized diamond principle denoted $♢ (LP)$ . This principle is akin to the parametrized diamonds of Moore, HruÅ¡Ã¡k, and DÅ¾amonja, each o…

math.GN2025

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

Will Brian, Alan Dow, Klaas Pieter Hart

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

math.GN2024

$C$ -embedding, LindelÃ¶fness, and Äech-completeness

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

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

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

M∗, N∗, and H∗

C-embedding, LindelÃ¶fness, and Äech-completeness

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

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

$C$ -embedding, LindelÃ¶fness, and Äech-completeness