clopen

Speech parts

1. clopen - Noun

2. clopen - Adjective

Meaning

clopen (not comparable)

(topology, of a set in a topological space) Both open and closed.

clopen (plural clopens)

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.

Anagrams

Examples

Let be the connected component of x in a topological space X, and be the intersection of all clopen sets containing x (called quasi-component of x.) Then where the equality holds if X is compact Hausdorff or locally connected. Source: Internet

A set may be both open and closed (a clopen set ). Source: Internet

A subset of X may be open, closed, both ( clopen set ), or neither. Source: Internet

Equivalently, a space is connected if the only clopen sets are the whole space and the empty set. Source: Internet

Hence, in any topology, the entire space is simultaneously open and closed (" clopen "). Source: Internet

Close letter words and terms