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...

other is the Lebesgue covering dimension. The term "topological dimension" is ordinarily understood to refer to the Lebesgue covering dimension. For "sufficiently...

topological dimension, also called Lebesgue covering dimension, explains why. This dimension is the greatest integer n such that in every covering of X by...

descriptions of redirect targets, also called Lebesgue covering dimension if one assumes the axiom of choice see dimension theorem for vector spaces Itzkov, Mikhail...

point. Specifically: A topological space is zero-dimensional with respect to the Lebesgue covering dimension if every open cover of the space has a refinement...

the Lebesgue measure, named after French mathematician Henri Lebesgue, is the standard way of assigning a measure to subsets of higher dimensional Euclidean...

Lebesgue integral extends to such spaces quite naturally. Lebesgue covering dimension Lebesgue constants Lebesgue's decomposition theorem Lebesgue's density...

the dimension as vector space is finite if and only if its Krull dimension is 0. For any normal topological space X, the Lebesgue covering dimension of...

the covering. This definition can be rephrased to make it more similar to that of the Lebesgue covering dimension. The Assouad–Nagata dimension of a...

a_{0}=1,\ a_{1}=6} . The sponge's Hausdorff dimension is log 20/log 3 ≅ 2.727. The Lebesgue covering dimension of the Menger sponge is one, the same as any...