3 papers
math.MG2026
A Metric Extension Theorem
Jacob Canel
We show that, given a partially defined metric where is a closed equivalence relation on a compact metrizable space , there is a metric…
math.LO2026
Bellman's Forest Problem and Computability
Jacob Canel
The goal of this paper is to refine methods in computable analysis and to employ them in the study of solutions of an optimization problem posed by Bellman. This problem asks how t…
math.LO2026
A Randomness Test Formalism for Neutral Measures and Beyond
Jacob Canel
We discuss in detail Neutral Measures, which are measures which believably generate any real in Cantor space. We intuitively build up the classical notions of randomness, and show…