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categories: Re: complete atomic Boolean algebras
For an "upgraded" version of the correspondence
see the newly appeared
M.Bunge, J. Funk, M. Jibladze, T. Streicher
"Distribution Algebras and Duality"
Advances in Mathematics 156, 133-155 (2000)
This is done for a bounded topos E--->S, replacing
S = Coc_S(S,S) by Dist(E) = Coc_S(E,S) and caBA(S)
by "distribution algebras". Identifying E with S gives
the correspondence in question. For just that one, it
may be worthwhile to consult directly Mikkelsen's
thesis combined with Pare's Theorem.
Marta Bunge