covering
Pronunciation
  • IPA: /ˈkʌvəɹɪŋ/
Etymology 1

Present participle or participial adjective from cover + -ing; or, from Middle English participle form of coveren, keveren ("to cover").

Verb
  1. Present participle and gerund of cover
Etymology 2

From Middle English coverynge, -inge, keverynge, -inge [verbal noun of coveren, keveren ("to cover")]; or, verbal noun from cover + -ing.

Noun

covering

  1. (countable) That which covers or conceals; a cover; something spread or laid over or wrapped about another.
  2. (uncountable) Action of the verb to cover.
  3. (topology, of a given open set U) A collection of sets \{U_i\} such that their union contains U; such a collection with the additional property that every U_i is open; such a collection with the additional property that every U_i is contained in U.
  4. (topology) 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 \pi : E \rightarrow X between topological spaces such that there exists, for every point x in X, a discrete space D_x and an open neighborhood U of x such that \pi^{-1}(U)= \displaystyle \bigsqcup_{d \in D_x} V_d and \pi|_{V_d}:V_d \rightarrow U is a homeomorphism for every d \in D_x . See w:Covering space on Wikipedia.Wikipedia
Translations


This text is extracted from the Wiktionary and it is available under the CC BY-SA 3.0 license | Terms and conditions | Privacy policy 0.002
Offline English dictionary