On connectedness via closure operators
Abstract: This paper describes a convenient modification of the approach presented
in the paper
``Closure operators and connectedness" by G. Castellini and D. Hajek,
which is shown to give a suitable generalization of left- and
right-constant subcategories, both at the object and the morphism levels.
We show in particular that the
framework we introduce here allows the simultaneous study of the classes
of connected topological spaces, of concordant continuous maps and of
monotone continuous maps.
