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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeOct 7th 2011
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexContinuing my obsession with broken symmetry in mathematics, why don't we see cotoposes? References are few and far between. Two talks: Bambozzi [Bornologie](http://www.math.unipd.it/?id_all_news=894) and Jibladze [Cosheaves, coframes, cotoposes - some new facts, some old questions](http://www.wra1th.plus.com/gcw/rants/math/PSSL/1997.html). 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'.

   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’.