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A set of class representatives is a subset of X which contains exactly one element from each equivalence class.

An addition chain for which there is a subset H of members such that each member of the chain uses the largest element of H which is less than the member.

Given a subset B of a set A, the injection f:B->A defined by f(b)=b for all b in B is called the inclusion map.

A subset M of a Hilbert space H is a linear manifold if it is closed under addition of vectors and scalar multiplication.

A set containing all elements of a smaller set. If B is a subset of A, then A is a superset of B, written A superset= B. If A is a proper superset of B, this is written A ...

An independent vertex set of a graph G is a subset of the vertices such that no two vertices in the subset represent an edge of G. Given a vertex cover of a graph, all ...

A vertex-induced subgraph (sometimes simply called an "induced subgraph") is a subset of the vertices of a graph G together with any edges whose endpoints are both in this ...

An induced subgraph is a subgraph obtained from an original graph by removing a subset of vertices and/or edges together with any edges whose endpoints are both in this ...

A topological space having a countable dense subset. An example is the Euclidean space R^n with the Euclidean topology, since it has the rational lattice Q^n as a countable ...

A subset S of a topological space X is compact if for every open cover of S there exists a finite subcover of S.