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covering dimension

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  • Lebesgue covering dimension — or topological dimension is one of several inequivalent notions of assigning a topological invariant dimension to a given topological space. Contents 1 Definition 2 Examples 3 Properties 4 …   Wikipedia

  • Covering — may refer to: Mathematics In topology: Covering map, a function from one space to another with uniform local neighborhoods Cover (topology), a system of (usually, open or closed) sets whose union is a given topological space Lebesgue covering… …   Wikipedia

  • Dimension — 0d redirects here. For 0D, see 0d (disambiguation). For other uses, see Dimension (disambiguation). From left to right, the square, the cube, and the tesseract. The square is bounded by 1 dimensional lines, the cube by 2 dimensional areas, and… …   Wikipedia

  • Dimension (vector space) — In mathematics, the dimension of a vector space V is the cardinality (i.e. the number of vectors) of a basis of V. It is sometimes called Hamel dimension or algebraic dimension to distinguish it from other types of dimension. This description… …   Wikipedia

  • Dimension (disambiguation) — A dimension is a spatial characteristic of an object; that is, length, width, or height. Dimension may also be: Contents 1 Science: 2 Mathematics: 3 Media: 4 Other …   Wikipedia

  • Dimension theory — This article is about dimension theory in topology. For dimension theory in commutative algebra, see dimension theory (algebra). In mathematics, dimension theory is a branch of general topology dealing with dimensional invariants of topological… …   Wikipedia

  • Dimension stone — Large blocks of granite dimension stone being loaded at Teignmouth in 1827. Dimension stone is natural stone or rock that has been selected and fabricated (i.e., trimmed, cut, drilled, ground, or other) to specific sizes or shapes. Color, texture …   Wikipedia

  • Dimension function — In mathematics, the notion of an (exact) dimension function (also known as a gauge function) is a tool in the study of fractals and other subsets of metric spaces. Dimension functions are a generalisation of the simple diameter to the dimension… …   Wikipedia

  • Inductive dimension — In the mathematical field of topology, the inductive dimension of a topological space X is either of two values, the small inductive dimension ind(X) or the large inductive dimension Ind(X). These are based on the observation that, in n… …   Wikipedia

  • Minkowski-Bouligand dimension — In fractal geometry, the Minkowski Bouligand dimension, also known as Minkowski dimension or box counting dimension, is a way of determining the fractal dimension of a set S in a Euclidean space R^n, or more generally in a metric space ( X , d ) …   Wikipedia

  • Minkowski–Bouligand dimension — Estimating the box counting dimension of the coast of Great Britain In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box counting dimension, is a way of determining the fractal dimension of a set S in a …   Wikipedia

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