P. Larson

activity

19992025

most citedSquare principles in Pmax extensions

26 citations · 34 across the 21 of their papers we have counts for

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Showing 2019 · math.LOShow all

3 papers · 2 filters

math.LO2019

Unilateral weighted shifts on $ℓ^{2}$

Konstantinos A. Beros, Paul B. Larson

Given a unilateral shift $B_{w}$ (determined by a bounded sequence $w$ ), a sequence $x \in ℓ^{2}$ is "hypercyclic" for $w$ iff the forward iterates of $x$ under $B_{w}$ are dense in $…

math.LO2019

The number of models of a fixed Scott rank, for a counterexample to the analytic Vaught conjecture

Paul Larson, Saharon Shelah

We show that if $γ \in ω \cup {ℵ_{0}}$ and $A$ is a counterexample to the analytic Vaught conjecture having exactly $γ$ many models of Scott rank $ω_{1}$ , then there…

math.LO2019

Maximal Tukey types, P-ideals and the weak Rudin-Keisler order

Konstantinos A. Beros, Paul B. Larson

In this paper, we study some new examples of ideals on $ω$ with maximal Tukey type (that is, maximal among partial orders of size continuum). This discussion segues into an examina…

Unilateral weighted shifts on ℓ2

The number of models of a fixed Scott rank, for a counterexample to the analytic Vaught conjecture

Maximal Tukey types, P-ideals and the weak Rudin-Keisler order

Unilateral weighted shifts on $ℓ^{2}$