H. Ramandi

collaborators

6 papers

math.LO2020

Galvin's Question on non- $σ$ -Well Ordered Linear Orders

Hossein Lamei Ramandi

Assume $C$ is the class of all linear orders $L$ such that $L$ is not a countable union of well ordered sets, and every uncountable subset of $L$ contains a copy of $ω_{1}$ …

math.LO2020

Aronszajn Free Kurepa Trees

Hossein Lamei Ramandi, Stevo Todorcevic

We consider a transitive relation on the power set of $ω_{1}$ and show if there is a maximal element with respect to this relation then there is a Kurepa tree with no Aronszajn subtr…

math.LO2020

On the rigidity of Souslin trees and their generic branches

Hossein Lamei Ramandi

We show it is consistent that there is a Souslin tree $S$ such that after forcing with $S$ , $S$ is Kurepa and for all clubs $C \subset ω_{1}$ , $S ↾ C$ is rigid. This ans…

math.LO2017

A new minimal non- $σ$ -scattered linear order

Hossein Lamei Ramandi

We will show it is consistent with $GC H$ that there is a minimal non $σ$ -scattered linear order which does not contain any real or Aronszajn type.

math.LO2017

A minimal Kurepa tree with respect to club embeddings

Hossein Lamei Ramandi

We will show it is consistent with $GC H$ that there is a minimal Kurepa tree with respect to club embeddings.

math.LO2017

There may be no minimal non $σ$ -scattered linear orders

Hossein Lamei Ramandi, Justin Tatch Moore

In this paper we demonstrate that it is consistent, relative to the existence of a supercompact cardinal, that there is no linear order which is minimal with respect to being non $…

Galvin's Question on non-σ-Well Ordered Linear Orders

Aronszajn Free Kurepa Trees

On the rigidity of Souslin trees and their generic branches

A new minimal non-σ-scattered linear order

A minimal Kurepa tree with respect to club embeddings

There may be no minimal non σ-scattered linear orders

Galvin's Question on non- $σ$ -Well Ordered Linear Orders

A new minimal non- $σ$ -scattered linear order

There may be no minimal non $σ$ -scattered linear orders