Samuel M. Corson

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20182022

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math.LO2022

On projections of the tails of a power

Samuel M. Corson, Saharon Shelah

Let $κ$ be an inaccessible cardinal, $U$ be a universal algebra, and $\sim$ be the equivalence relation on $U^{κ}$ of eventual equality. From mild assumptions o…

math.LO2020

The independence of Stone's Theorem from the Boolean Prime Ideal Theorem

Samuel M. Corson

We give a permutation model in which Stone's Theorem (every metric space is paracompact) is false and the Boolean Prime Ideal Theorem (every ideal in a Boolean algebra extends to a…