clopen UK /ˈkləʊ̯.pən/US /ˈkloʊ̯.pən/adjective 1noun 1forms 1 adjective1 •Both open and closed.A subset of a metric space is clopen iff it is both closed and open. A metric space is called zero-dimensional iff there is a base for the open sets consisting of clopen sets. — 1990 noun1 •A pair of work shifts in which a worker works a closing shift one day and then works an opening shift the following day.James is on vacation, so I've got to do a clopen this weekend to cover his shifts. formsclopens