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Continuing my obsession with broken symmetry in mathematics, why don’t we see cotoposes?
References are few and far between. Two talks: Bambozzi Bornologie and Jibladze Cosheaves, coframes, cotoposes - some new facts, some old questions.
The former mentions
Il “grosso cotopos” $BORN(X)$ di uno spazio bornologico $X$.
Was ’bornos’ out of the question? I know next to nothing about bornology, but there are suggestions of a duality with topology, e.g., ’Bornologies and Functional Analysis: Introductory Course on the Theory of Duality Topology-Bornology and Its Use in Functional Analysis’.
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