
Coatoms of the lattice of funcoids (Solved)
Problem Let
and
be infinite sets. Characterize the set of all coatoms of the lattice
of funcoids from
to
. Particularly, is this set empty? Is
a coatomic lattice? coatomistic lattice?






See Algebraic General Topology for definitions of used concepts.
Solved:
Coatoms of are principal funcoids corresponding to binary relations of the form
where
,
.
The set of funcoids is atomic but not atomistic.
See new version of the book Algebraic General Topology.
Bibliography
* indicates original appearance(s) of problem.