9 citations · 34 across the 60 of their papers we have counts for
5 papers · 2 filters
The Keisler-Shelah isomorphism theorem and the continuum hypothesis II
Mohammad Golshani, Saharon Shelah
We continue the investigation started in [Sh:1215] about the relation between the Keilser-Shelah isomorphism theorem and the continuum hypothesis. In particular, we show it is cons…
Completeness of the Gödel-Löb provability logic for the filter sequence of normal measures
Mohammad Golshani, Reihane Zoghifard
Assuming the existence of suitable large cardinals, we show it is consistent that the Provability logic is complete with respect to the filter sequence of normal meas…
The Keisler-Shelah isomorphism theorem and the continuum hypothesis
Mohammad Golshani, Saharon Shelah
We show that if for any two elementary equivalent structures of size at most continuum in a countable language, $\mathbf{M}^ω/ \mathcal{U} \simeq \mathbf{N…
Combinatorial and number-theoretic properties of generic reals
Will Brian, Mohammad Golshani
We discuss some properties of Cohen and random reals. We show that they belong to any definable partition regular family, and hence they satisfy most "largeness" properties studied…
Two remarks on Merimovich's model of the total failure of GCH
Mohammad Golshani
Let denote the Merimovich's model in which for each infinite cardinal . We show that in the following hold: (1) Shelah's strong hypothesis fails at all singu…