We develop in some generality the dualities that often arise when one object lies in two different categories. In our examples, one category is equational and the other consists of the topological objects in a (generally different) equational category.
Keywords: duality, fixed categories, sober objects
2000 MSC: 18A40, 18D20
Theory and Applications of Categories,
Vol. 20, 2008,
No. 15, pp 504-542.
http://www.tac.mta.ca/tac/volumes/20/15/20-15.dvi
http://www.tac.mta.ca/tac/volumes/20/15/20-15.ps
http://www.tac.mta.ca/tac/volumes/20/15/20-15.pdf
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/20/15/20-15.dvi
ftp://ftp.tac.mta.ca/pub/tac/html/volumes/20/15/20-15.ps