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Exploring the Boundaries of Monad Tensorability on Set

Nathan Bowler ; Sergey Goncharov ; Paul Blain Levy ; Lutz Schröder.

We study a composition operation on monads, equivalently presented as large equational theories. Specifically, we discuss the existence of tensors, which are combinations of theories that impose mutual commutation of the operations from the component theories. As such, they extend the sum of two&nbsp;[&hellip;]

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A Ghost at $\omega_1$

Paul Blain Levy.

In the final chain of the countable powerset functor, we show that the set at index $\omega_1$, regarded as a transition system, is not strongly extensional because it contains a "ghost" element that has no successor even though its component at each successor index is inhabited. The method, adapted&nbsp;[&hellip;]

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