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math.GM2022
A memo on bornologies and size functions
Paul Poncet
We recall the notion of abstract bornology, and connect it with topological spaces and size functions. As a generalization of measures of non-compactness, we show how every size fu…
math.GM2021
Galois connections between closure spaces
Paul Poncet
Galois connections were introduced by Ore and have proved useful in a wide variety of mathematical areas. While Galois connections play on the ground of posets (or more generally o…