Andrew DeLapo

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math.LO2025

Computability of Separation Axioms in Countable Second Countable Spaces

Andrew DeLapo, David Gonzalez

We analyze the effective content of countable, second countable topological spaces by directly calculating the complexity of several topologically defined index sets. We focus on t…

math.LO2020

Bernoulli Randomness and Biased Normality

Andrew DeLapo

One can consider $μ$ -Martin-Löf randomness for a probability measure $μ$ on $2^{ω}$ , such as the Bernoulli measure $μ_{p}$ given $p \in (0, 1)$ . We study Bernoulli randomness of sequen…