CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search This article includes a list of references , related reading or external links , but its sources remain unclear because it lacks inline citations . Please improve this article by introducing more precise citations. (December 2009) In mathematics, the Lebesgue covering dimension or topological dimension of a topological space is one of several different ways of defining the dimension of the space in a topologically invariant way. 1 Definition 2 Examples 3 Properties 4 History 5 See also 6 References 6.1 Historical references 6.2 Modern references 7 External links Definition [ edit ] An open cover of a topological space X is a family of open sets whose union is X . The ply of a cover is the smallest number n (if it exists) such that each point of the space belongs...