In set theory, a class of sets A is defined as a covering of a set B if every element of B is also an element of some set contained in A. An open covering of a set is a covering that consists entirely of open sets. A refinement of a covering A of a set B is a subclass of the sets in A that still manages to cover B.

Cov"er*ing, n.

Anything which covers or conceals, as a roof, a screen, a wrapper, clothing, etc.

Noah removed the covering of the ark. Gen. viii. 13.

They cause the naked to lodge without clothing, that they have no covering in the cold. Job. xxiv. 7.

A covering over the well's mouth. 2 Sam. xvii. 19.


© Webster 1913.

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