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math.CT2019★ 9 cited
Notes on Category Theory with examples from basic mathematics
Paolo Perrone
These notes were originally developed as lecture notes for a category theory course. They should be well-suited to anyone that wants to learn category theory from scratch and has a…
math.GN2019★ 8 cited
Probability, valuations, hyperspace: Three monads on Top and the support as a morphism
Tobias Fritz, Paolo Perrone, Sharwin Rezagholi
We consider three monads on Top, the category of topological spaces, which formalize topological aspects of probability and possibility in categorical terms. The first one is the H…