Duality for CCD lattices

Francisco Marmolejo, Robert Rosebrugh, and R.J. Wood

The 2-category of constructively completely distributive lattices is shown to be bidual to a 2-category of generalized orders that admits a monadic schizophrenic object biadjunction over the 2-category of ordered sets.

Keywords: adjunction, completely distributive, idempotent, monadic, proarrow equipment, cauchy complete

2000 MSC: 18A25

Theory and Applications of Categories, Vol. 22, 2009, No. 1, pp 1-23.

http://www.tac.mta.ca/tac/volumes/22/1/22-01.dvi
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http://www.tac.mta.ca/tac/volumes/22/1/22-01.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/22/1/22-01.dvi
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