- nowhere-dense set
- нигде не плотное множество
Большой англо-русский и русско-английский словарь. 2001.
nowhere-dense set
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Nowhere dense set — A subset A of a topological space X is nowhere dense in X if and only if the interior of the closure of A is empty. The order of operations is important. For example, the set of rational numbers, as a subset of R has the property that the closure … Wikipedia
Dense set — In topology and related areas of mathematics, a subset A of a topological space X is called dense (in X) if any point x in X belongs to A or is a limit point of A.[1] Informally, for every point in X, the point is either in A or arbitrarily close … Wikipedia
nowhere-dense — /noh hwair dens , wair /, adj. Math. (of a set in a topological space) having a closure that contains no open set with any points in it; nondense. * * * … Universalium
nowhere-dense — /noh hwair dens , wair /, adj. Math. (of a set in a topological space) having a closure that contains no open set with any points in it; nondense … Useful english dictionary
Dense-in-itself — In mathematics, a subset A of a topological space is said to be dense in itself if A contains no isolated points. Every dense in itself closed set is perfect. Conversely, every perfect set is dense in itself. A simple example of a set which is… … Wikipedia
Meagre set — In the mathematical fields of general topology and descriptive set theory, a meagre set (also called a meager set or a set of first category) is a set that, considered as a subset of a (usually larger) topological space, is in a precise sense… … Wikipedia
List of exceptional set concepts — This is a list of exceptional set concepts. In mathematics, and in particular in mathematical analysis, it is very useful to be able to characterise subsets of a given set X as small , in some definite sense, or large if their complement in X is… … Wikipedia
Nowhere continuous function — In mathematics, a nowhere continuous function, also called an everywhere discontinuous function, is a function that is not continuous at any point of its domain. If f is a function from real numbers to real numbers, then f(x) is nowhere… … Wikipedia
Cantor set — In mathematics, the Cantor set, introduced by German mathematician Georg Cantor in 1883 [Georg Cantor (1883) Über unendliche, lineare Punktmannigfaltigkeiten V [On infinite, linear point manifolds (sets)] , Mathematische Annalen , vol. 21, pages… … Wikipedia
Negligible set — See also: Generic property In mathematics, a negligible set is a set that is small enough that it can be ignored for some purpose. As common examples, finite sets can be ignored when studying the limit of a sequence, and null sets can be ignored… … Wikipedia
Porous set — In mathematics, a porosity is a concept in the study of metric spaces. Like the concepts of meagre and measure zero sets, porosity is a notion of a set being somehow sparse or lacking bulk ; however, porosity is not equivalent to either of the… … Wikipedia
