In mathematics, covering theorem can refer to
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Jensen's covering theorem — In set theory, Jensen s covering theorem states that if 0# does not exist then every uncountable set of ordinals is contained in a constructible set of the same cardinality. Informally this conclusion says that the constructible universe is close … Wikipedia
Besicovitch covering theorem — In mathematical analysis, a Besicovitch cover is an open cover of a subset E of the Euclidean space R N by balls such that each point of E is the center of some ball in the cover.The Besicovitch covering theorem asserts that there exists a… … Wikipedia
Covering lemma — See also: Jensen s covering theorem In mathematics, under various anti large cardinal assumptions, one can prove the existence of the canonical inner model, called the Core Model, that is, in a sense, maximal and approximates the structure of V.… … Wikipedia
Covering space — A covering map satisfies the local triviality condition. Intuitively, such maps locally project a stack of pancakes above an open region, U, onto U. In mathematics, more specifically algebraic topology, a covering map is a continuous surjective… … Wikipedia
Covering system — In mathematics, a covering system (also called a complete residue system) is a collection of finitely many residue classes whose union covers all the integers. Unsolved problems in mathematics For any arbitrarily large natural number N does there … Wikipedia
Vitali covering lemma — In mathematics, the Vitali covering lemma is a combinatorial and geometric result commonly used in measure theory of Euclidean spaces. tatement of the lemma* Finite version: Let B {1},...,B {n} be any collection of d dimensional balls contained… … Wikipedia
Lebesgue covering dimension — or topological dimension is one of several inequivalent notions of assigning a topological invariant dimension to a given topological space. Contents 1 Definition 2 Examples 3 Properties 4 … Wikipedia
Simplicial approximation theorem — In mathematics, the simplicial approximation theorem is a foundational result for algebraic topology, guaranteeing that continuous mappings can be (by a slight deformation) approximated by ones that are piecewise of the simplest kind. It applies… … Wikipedia
Circle packing theorem — Example of the circle packing theorem on K5, the complete graph on five vertices, minus one edge. The circle packing theorem (also known as the Koebe–Andreev–Thurston theorem) describes the possible tangency relations between circles in the plane … Wikipedia
Grushko theorem — In the mathematical subject of group theory, the Grushko theorem or the Grushko Neumann theorem is a theorem stating that the rank (that is, the smallest cardinality of a generating set) of a free product of two groups is equal to the sum of the… … Wikipedia
