🚀 go-pugleaf

I'm currently reading a book on category theory, and in the initial
chapters it goes through some mathematical structures that can be
represented as categories such as :- semigroups, monoids, posets, ...
etc. 

I have read about these in various guises before (courses on algebra,
denotational semantics), but never fully understood them (I'm a poor
CS type not a mathematical person :-), but I thought that as they are
appearing yet again, I'd make a more concerted effort.

Anyway, my problem (for today :-) is that I can't think of a function
on a CPO (complete partial order) that is monotonic but is _not_
continuous.  (I once asked this question to the person teaching the
denotational semantics course and was told `Er, um, see me next time')

Now there must be some as every book I've read defines what a monotone
function is and then goes on to define a continuous one.  However,
I've yet to see one that gives any decent examples!

So, can anybody help me with my (hopefully simple) question and also
point me at a book/report/paper that explains these sorts of things
and actually has some examples to go along with the (dry) definitions!

Stephen J. Bevan			bevan@cs.man.ac.uk

PS. Just in case anybody is wondering :- this is not home/course work