Covering
Last Updated: January 2, 2026 at 12:30 PM
Scrabble:14 ptsWWF:18 pts8 letters
Definition of Covering
Verb
Noun
- 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 { U i } {\displaystyle \{U_{i}\}} such that their union contains U {\displaystyle U} ; such a collection with the additional property that every U i {\displaystyle U_{i}} is open; such a collection with the additional property that every U i {\displaystyle U_{i}} is contained in U {\displaystyle U} .
- 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 π<!-- π --> : E →<!-- → --> X {\displaystyle \pi :E\rightarrow X} between topological spaces such that there exists, for every point x {\displaystyle x} in X {\displaystyle X} , a discrete space D x {\displaystyle D_{x}} and an open neighborhood U {\displaystyle U} of x {\displaystyle x} such that π<!-- π --> −<!-- − --> 1 ( U ) = ⨆<!-- ⨆ --> d ∈<!-- ∈ --> D x V d {\displaystyle \pi ^{-1}(U)=\displaystyle \bigsqcup _{d\in D_{x}}V_{d}} and π<!-- π --> | V d : V d →<!-- → --> U {\displaystyle \pi |_{V_{d}}:V_{d}\rightarrow U} is a homeomorphism for every d ∈<!-- ∈ --> D x {\displaystyle d\in D_{x}} . See Covering space on Wikipedia.Wikipedia
Anagrams of Covering
Words You Can Make
50 words can be made from the letters in "covering":