9 citations · 34 across the 60 of their papers we have counts for
7 papers · 1 filter
Adding highly undefinable sets over
Mohammad Golshani, Saharon Shelah
We sow that there exists a generic extension of the Gödel's constructible universe in which diamond holds and there exists a subset such that for stationary many…
Cohen Generic Structures with Functions
Nathanael Ackerman, Mohammad Golshani, Mostafa Mirabi
Suppose are languages where is relational. Additionally, let be a strong c…
Expressive Power of Infinitary Logic and Absolute co-Hopfianity
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
Recently, Paolini and Shelah have constructed absolutely Hopfian torsion-free abelian groups of any given size. In contrast, we show that this is not necessarily the case for absol…
Naturality and Definability III
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
In this paper, we deal with the notions of naturality from category theory and definablity from model theory and their interactions. In this regard, we present three results. First…
A generic absoluteness principle consistent with large continuum
Mohammad Golshani
We state a new generic absoluteness principle, and use Shelah's memory iteration technique to show that it is consistent with the large continuum.
The Abraham-Shelah -well-ordering of the reals
Mohammad Golshani
We give an exposition of the Abraham-Shelah's proof of the consistency of with existence of a -well-ordering of the reals.
Adding highly generic subsets of
Esfandiar Eslami, Mohammad Golshani, Rouholah Hoseini Naveh
Starting from the we build a cardinal and preserving generic extension of the universe, in which there exists a set of size so t…