9 citations · 34 across the 60 of their papers we have counts for
6 papers · 1 filter
Co-Hopfian and boundedly endo-rigid mixed abelian groups
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
For a given cardinal and a torsion abelian group of cardinality less than , we present, under some mild conditions (for example ), boundedly endo-rigid a…
The proper forcing axiom for -sized posets, -linked symmetrically proper forcing, and the size of the continuum
David Asperó, Mohammad Golshani
We show that the Proper Forcing Axiom for forcing notions of size is consistent with the continuum being arbitrarily large. In fact, assuming holds and …
The measuring principle and the continuum hypothesis
Mohammad Golshani, Saharon Shelah
We show that one can force the Measuring principle without adding any new reals. We also show that it is consistent with the large continuum. These results answer two famous questi…
No universal graphs at uncountable regular cardinals
Mohammad Golshani
Assuming the existence of a strong cardinal, we find a model of ZFC in which for each uncountable regular cardinal there is no universal graph of size .
Unlimited accumulation by the Shelah's PCF operator
Mohammad Golshani
Modulo the existence of large cardinals, there is a model of set theory in which for some set of regular cardinals, the sequence $\langle \text{pcf}^α(B): α\in \text{Ord} \rang…
Representing the language of a topos as quotient of the category of spans
M. Golshani, A. Shiralinasab Langari
We use quotients of span categories to introduce the language of a topos. We also study the logical relations and the quotients of span categories derived from them. As an applicat…