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Refinement may refer to:


Mathematics

* Equilibrium refinement, the identification of actualized equilibria in game theory * Refinement of an
equivalence relation In mathematics, an equivalence relation is a binary relation that is reflexive, symmetric and transitive. The equipollence relation between line segments in geometry is a common example of an equivalence relation. Each equivalence relatio ...
, in mathematics **
Refinement (topology) In mathematics, and more particularly in set theory, a cover (or covering) of a set X is a collection of subsets of X whose union is all of X. More formally, if C = \lbrace U_\alpha : \alpha \in A \rbrace is an indexed family of subsets U_\alph ...
, the refinement of an open cover in mathematical topology * Refinement (category theory)


Other uses

* Refinement (computing), computer science approaches for designing correct computer programs and enabling their formal verification *
Refining {{Unreferenced, date=December 2009 Refining (also perhaps called by the mathematical term affining) is the process of purification of a (1) substance or a (2) form. The term is usually used of a natural resource that is almost in a usable form, b ...
, a process of purification **
Refining (metallurgy) In metallurgy, refining consists of purifying an impure metal. It is to be distinguished from other processes such as smelting and calcining in that those two involve a chemical change to the raw material, whereas in refining, the final materi ...
* Refinement (culture), a quality of cultural sophistication * Refinement (horse), a racehorse ridden by jockey
Tony McCoy Sir Anthony Peter McCoy (born 4 May 1974), commonly known as AP McCoy or Tony McCoy, is a Northern Irish former National Hunt horse racing jockey. Based in Ireland and the UK, McCoy rode a record 4,358 winners, and was Champion Jockey a reco ...
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