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

(uncountable) Action of the verb to cover.

(topology) A continuous map onto a topological space X {\displaystyle X} , π : E → X {\displaystyle \pi :E\rightarrow X} , such that there exists a discrete space D {\displaystyle D} and for every x ∈ X {\displaystyle x\in X} an open neighborhood U ⊂ X {\displaystyle U\subset X} , such that π − 1 ( U ) = ⨆ d ∈ D V d {\displaystyle \pi ^{-1}(U)=\displaystyle \bigsqcup _{d\in D}V_{d}} and π | V d : V d → U {\displaystyle \pi |_{V_{d}}:V_{d}\rightarrow U} is a homeomorphism for every d ∈ D {\displaystyle d\in D} .

present participle and gerund of cover