covering vs sheathing

covering

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

  • Action of the verb to cover. 

  • A continuous map onto a topological space X, 𝜋:E→X, such that there exists a discrete space D and for every x∈X an open neighborhood U⊂X, such that 𝜋⁻¹(U)= displaystyle bigsqcup _(d∈D)V_d and 𝜋|_(V_d):V_d→U is a homeomorphism for every d∈D. 

sheathing

noun
  • Something that wraps around or surrounds something, as a sheath encases its blade. 

How often have the words covering and sheathing occurred in a corpus of books? (source: Google Ngram Viewer )