4 citations · 4 across the 5 of their papers we have counts for
5 papers
On the conformal group of a globally hyperbolic spacetime
Ali Bleybel
We study causal and conformal automorphism groups of globally hyperbolic spacetimes using an order-theoretic back-and-forth method on dense countable subsets. In two dimensions we…
A Temporal Splitting Theorem for Chronological Spaces
Ali Bleybel
We obtain a generalization of Geroch's Theorem on temporal foliations in a globally hyperbolic space-time to chronological spaces under suitable topological and order-theoretic req…
A Note on complex -adic exponential fields
Ali Bleybel
In this paper we apply Ax-Schanuel's Theorem to the ultraproduct of -adic fields in order to get some results towards algebraic independence of -adic exponentials for almost…
Foliations and automorphisms of causal sets
Ali Bleybel, Abdallah Zaiour
We consider foliations of causal sets and their behavior under causal automorphisms. For a connected, countably infinite causal set containing an infinite antichain, and such that…
On Zilber's field
Ali Bleybel
In this paper we use tools from set theory and the uncountable categoricity of Zilber's pseudo-exponential field to show that Zilber's field is isomorphic to the complex field with…