3 papers
math.LO2025
Reinhardt Cardinals and Eventually Dominating Functions
Marwan Salam Mohammd
We prove a result concerning elementary embeddings of the set-theoretic universe into itself (Reinhardt embeddings) and functions on ordinals that "eventually dominate" such embedd…
math.LO2025
Strong Rigidity and Elementary Embeddings
Marwan Salam Mohammd
We present a method for producing elementary embeddings from homomorphisms. This method is utilized in the study of the "strongly rigid relation principle" as defined by Hamkins an…
math.LO2024
Berkeley Cardinals and Vopěnka's Principle
Marwan Salam Mohammd
We introduce "-choiceless" supercompact and extendible cardinals in Zermelo-Fraenkel set theory without the Axiom of Choice. We prove relations between these cardinals and Vopěn…