M. Golshani

activity

19952026

H O D

9 citations · 34 across the 60 of their papers we have counts for

collaborators

Showing 2017Show all

8 papers · 1 filter

math.LO2017

The generalized Kurepa hypothesis at singular cardinals

Mohammad Golshani

We discuss the generalized Kurepa hypothesis $K H_{λ}$ at singular cardinals $λ$ . In particular, we answer questions of Erdös-Hajnal [1] and Todorcevic [6], [7] by showing that $GC H$ …

math.LO2017

On a theorem of Magidor

Mohammad Golshani

Assuming $κ$ is a supercompact cardinal and $λ$ is an inaccessible cardinal above it, we present an idea due to Magidor, to find a generic extension in which $κ = ℵ_{ω}$ and $λ=\a…

math.LO2017

On $C_{n}^{s} (κ)$ and the Juhasz-Kunen question

Mohammad Golshani, Saharon Shelah

We generalize the combinatorial principles $C_{n} (κ), C_{n}^{s} (κ)$ and $P r in c (κ)$ introduced by various authors, and prove some of their properties and connections between them. We also…

math.LO2017

Specializing trees and answer to a question of Williams

Mohammad Golshani, Saharon Shelah

We show that if $c f (2^{ℵ_{0}}) = ℵ_{1},$ then any non-trivial $ℵ_{1}$ -closed forcing notion of size $\leq 2^{ℵ_{0}}$ is forcing equivalent to $A dd (ℵ_{1}, 1),$ the Cohe…

math.LO2017★ 1 cited

The tree property at all regular even cardinals

Mohammad Golshani

Assuming the existence of a strong cardinal and a measurable cardinal above it, we construct a model of $Z F C$ in which for every singular cardinal $δ$ , $δ$ is strong limit, $2^δ=δ^…

math.LO2017

On a question of Silver about gap-two cardinal transfer principles

Mohammad Golshani, Shahram Mohsenipour

Assuming the existence of a Mahlo cardinal, we produce a generic extension of Gödel's constructible universe $L$ , in which the transfer principles $(\aleph_2, \aleph_0) \to (\aleph…

math.LO2017

Adding a lot of random reals by adding a few

Moti Gitik, Mohammad Golshani

We study pairs $(V, V_{1})$ of models of $Z F C$ such that adding $κ$ -many random reals over $V_{1}$ adds $λ$ -many random reals over $V$ , for some $λ > κ .$

math.LO2017

Adding many random reals may add many Cohen reals

Mohammad Golshani

Let $κ$ be an infinite cardinal. Then, forcing with $R (κ)$ $\times$ $R (κ)$ adds a generic filter for $C (κ);$ where $R (κ)$ and $C (κ)$ are…

The generalized Kurepa hypothesis at singular cardinals

On a theorem of Magidor

On Cns​(κ) and the Juhasz-Kunen question

Specializing trees and answer to a question of Williams

The tree property at all regular even cardinals

On a question of Silver about gap-two cardinal transfer principles

Adding a lot of random reals by adding a few

Adding many random reals may add many Cohen reals

On $C_{n}^{s} (κ)$ and the Juhasz-Kunen question