For other uses of Cover in mathematics, see Cover (mathematics).
In mathematics, especially order theory, the covering relation of a partially ordered set is the binary relation which holds between comparable elements that are immediate neighbours. The covering relation is commonly used to graphically express the partial order by means of the Hasse diagram.
mathematics, especially order theory, the coveringrelation of a partially ordered set is the binary relation which holds between comparable elements that...
a different meaning: the directed acyclic graph obtained from the coveringrelation of a partially ordered set, independently of any drawing of that graph...
In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies...
reachability relation as the DAG. It has an edge u → v for every pair of vertices (u, v) in the coveringrelation of the reachability relation ≤ of the DAG...
a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain. A binary relation over sets X...
sets whose union contains each set as a subset Cover, a pair in the coveringrelation of a partially ordered set, or the greater element in such a pair...
order, if x < y then ρ(x) < ρ(y), and The rank is consistent with the coveringrelation of the ordering, meaning that for all x and y, if y covers x then...
partial cube of moves on weak orderings is the graph describing the coveringrelation of the face lattice of the permutohedron. For instance, for n = 3...
and join-irreducible elements. If a lattice is distributive, its coveringrelation forms a median graph. Furthermore, every distributive lattice is also...
binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the converse of the relation 'child of'...
In mathematics, a relation on a set is called connected or complete or total if it relates (or "compares") all distinct pairs of elements of the set in...
In mathematics, a binary relation R ⊆ X×Y between two sets X and Y is total (or left total) if the source set X equals the domain {x : there is a y with...
Christian head covering, also known as Christian veiling, is the traditional practice of women covering their head in a variety of Christian denominations...
which any two elements are comparable. That is, a total order is a binary relation ≤ {\displaystyle \leq } on some set X {\displaystyle X} , which satisfies...
pair is comparable. Formally, a partial order is a homogeneous binary relation that is reflexive, antisymmetric, and transitive. A partially ordered set...
Richard Rado. Covering systems can be used to find primefree sequences, sequences of integers satisfying the same recurrence relation as the Fibonacci...
acyclic graph that has been constructed in this way, it generates the coveringrelation of the partial order, which is frequently given visual expression...
relation of an antichain is just the identity relation. Approximates relation. See way-below relation. Antisymmetric relation. A homogeneous relation...
contemporary with those of Neoplatonism. Gnosticism is an imprecise label, covering monistic as well as dualistic conceptions. Usually the higher worlds of...