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 spaces.

See also

• Lebesgue covering dimension
• Inductive dimensions (small and large)
• Dimension

This topology-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Dimension theory Topology stubs Wikimedia Foundation. 2010. Игры ⚽ Поможем написать реферат List of mathematical theories Pat Dobson Look at other dictionaries: Dimension theory (algebra) — In mathematics, dimension theory is a branch of commutative algebra studying the notion of the dimension of a commutative ring, and by extension that of a scheme. See also Krull dimension Dimension of an algebraic variety Hilbert polynomial… …   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 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 Dimensión VC — Saltar a navegación, búsqueda La dimensión VC (del inglés Vapnik Chervonenkis dimension) es una medida de la capacidad de los algoritmos de clasificación estadística, definida como la cardinalidad del mayor conjunto de puntos que el algoritmo… …   Wikipedia Español dimension — dimensional, adj. dimensionality, n. dimensionally, adv. dimensionless, adj. /di men sheuhn, duy /, n. 1. Math. a. a property of space; extension in a given direction: A straight line has one dimension, a parallelogram has two dimensions, and a… …   Universalium 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 Theory of relations — This article is about the theory of relations with regard to its specifically combinatorial aspects. For a general discussion of the basic definitions, see Binary relation and Finitary relation. The theory of relations treats the subject matter… …   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 topologique — En mathématiques, la dimension topologique est une notion destinée à étendre à des espaces métriques la notion algébrique de dimension d un espace vectoriel. Définition Soit E un espace métrisable à base dénombrable. On définit la dimension… …   Wikipédia en Français Theory of everything — A theory of everything (TOE) is a putative theory of theoretical physics that fully explains and links together all known physical phenomena. Initially, the term was used with an ironic connotation to refer to various overgeneralized theories.… …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”