2 papers
math.FA2025
On a Lebesgue-like integral over the Levi-Civita field
Mateo Restrepo Borrero, Khodr Shamseddine
The Levi-Civita field is the smallest non-Archimedean ordered field extension of the real numbers that is real closed and Cauchy complete in the topology induced by t…
math.CA2022
On a new measure on the Levi-Civita field
Mateo Restrepo Borrero, Vatsal Srivastava, Khodr Shamseddine
The Levi-Civita field is the smallest non-Archimidean ordered field extension of the real numbers that is real closed and Cauchy complete in the topology induced by t…