65 citations · 603 across the 48 of their papers we have counts for
48 papers
Spacetimes via Continuous posets: Old foundations and new developments
Ettore Minguzzi
We introduce the reader to the continuous posets approach to spacetime geometry, a topic pioneered by Martin and Panangaden (MP), supplying the relevant domain-theoretic proofs to…
A Stone-Weierstrass approximation theorem for monotone functions
Ettore Minguzzi
We present an approximation theorem for continuous non-decreasing functions on compact preordered spaces, leading to an algebraic characterization of their corresponding function s…
Destructuring Physics: A functional derivation of spacetime
Ettore Minguzzi
I propose that Physics should be formulated using minimal mathematical structure, beginning with its foundational arena: spacetime. This paper opens with a concise overview of seve…
The representation of spacetime through time functions
Ettore Minguzzi
The properties of the stable distance over stable spacetimes are used as a reference to propose a simplified, abstract notion of spacetime. The discussion shows that spacetime, wit…
Further observations on the definition of global hyperbolicity under low regularity
E. Minguzzi
The definitions of global hyperbolicity for closed cone structures and topological preordered spaces are known to coincide. In this work we clarify the connection with definitions…
Causal simplicity and (maximal) null pseudoconvexity
Jakob Hedicke, Ettore Minguzzi, Benedict Schinnerl +2
We consider pseudoconvexity properties in Lorentzian and Riemannian manifolds and their relationship in static spacetimes. We provide an example of a causally continuous and maxima…