A. Rinot

activity

20062026

most citedA microscopic approach to Souslin-tree construction, Part II

27 citations · 138 across the 42 of their papers we have counts for

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Showing 2025 · math.LOShow all

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math.LO2025

The power of trees

Ari Meir Brodsky, Assaf Rinot, Shira Yadai

We give two consistent constructions of trees $T$ whose finite power $T^{n + 1}$ is sharply different from $T^{n}$ : 1. An $ℵ_{1}$ -tree $T$ whose interval topology $X_{T}$ is perfectly…

math.LO2025

A new model for all $C$ -sequences are trivial

Assaf Rinot, Zhixing You, Jiachen Yuan

We construct a model in which all $C$ -sequences are trivial, yet there exists a $κ$ -Souslin tree with full vanishing levels. This answers a question of Lambie-Hanson and Rinot, and…

The power of trees

A new model for all C-sequences are trivial

A new model for all $C$ -sequences are trivial