Lorenzo Notaro

activity

20232026

most citedSome questions on entangled linear orders

1 citations · 2 across the 10 of their papers we have counts for

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math.LO2026

Quagmires and large Suslin forests

Lorenzo Notaro

In 1972, Jech asked whether there exists a Suslin $(ω_{1}, ω_{2})$ -forest in the constructible universe. As reported by Jech, Laver gave a positive answer, but his proof was never publ…

math.LO2026

A solution to Ditor's problem

Lorenzo Notaro

We settle the long-standing open question whether there exists a $3$ -ladder of cardinality $ℵ_{2}$ . Given a positive integer $n$ , an $n$ -ladder is a lower finite lattice whose e…

math.CO2026

On maximal ladders

Lorenzo Notaro

Given a positive integer $n$ , an $n$ -ladder is a lower finite lattice whose elements have at most $n$ lower covers. In 1984, Ditor proved that every $n$ -ladder has cardinality at m…

math.LO2026

Open Colorings and Baumgartner's Axiom

Lorenzo Notaro

We construct a model of $M A_{ℵ_{1}} + OCA_{T}$ where Baumgartner's Axiom fails, settling a question of Farah. Moreover, in the same model there is an $ℵ_{1}$ -de…