What is the meaning of Covering?

present participle and gerund of cover

That which covers or conceals; a cover; something spread or laid over or wrapped about another.

Action of the verb to cover.

A collection of sets such that their union contains ; such a collection with the additional property that every is open; such a collection with the additional property that every is contained in .

A special kind of map that establishes a relationship between two topological spaces in the sense that, under the action of the map, the one looks locally like several copies of the second: Formally, a continuous map between topological spaces such that there exists, for every point in , a discrete space and an open neighborhood of such that and is a homeomorphism for every . See Covering space on Wikipedia.Wikipedia

Source: wiktionary.org