Re: Sheaf toposes and chain-complete posets

Dear categorists, I should have asked a different question: what does a chain-complete _lattice_ which is not complete look like in a sheaf topos? Is there such a thing? (Thanks to Fred Linton who pointed out that I could just take a flat order and multiply it with a complete one, thus gettting a poset which has very few interesting chains but is not at all complete.) With kind regards, Andrej [For admin and other information see: http://www.mta.ca/~cat-dist/ ]