Covering

Covering may refer to:

Mathematics

In topology:
- Covering map, a function from one space to another with uniform local neighborhoods
- Cover (topology), a system of (usually, open or closed) sets whose union is a given topological space
- Lebesgue covering dimension, a definition of dimension using topological properties
In graph theory:
- Vertex cover – a set of vertices incident on every edge
- Edge cover – a set of edges incident on every vertex
- Covering graph – a graph related to another graph via a covering map
- cycle double cover, a family of cycles that includes every edge exactly twice
- clique cover, a family of cliques that includes every vertex
- path cover, a family of paths that includes every vertex
- biclique cover, a family of complete bipartite graphs that includes every edge
Covering lemma in set theory (specifically large cardinal theory)
Covering number of a metric space, the minimum number of smaller balls needed to cover a unit ball
Covering problems, computational tasks of finding a small family of sets whose union is a given set

Window covering
Covering a base
Hat, head covering
Cover versions, recording or performance by musicians of other artists' songs
In the world of opera, acting as an understudy for singers of leading roles
Covering: The Hidden Assault on Our Civil Rights, a book by Kenji Yoshino on legal inequality
Coating