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 code, where every word is close to some codeword
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
Covering set, in number theory, a set of prime numbers dividing all the elements of a sequence of numbers

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