- dense-in-itself set
- мат.плотное в себе множество
English-Russian scientific dictionary. 2008.
dense-in-itself set
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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
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
Dense order — In mathematics, a partial order ≤ on a set X is said to be dense if, for all x and y in X for which x < y, there is a z in X such that x < z < y. The rational numbers with the ordinary ordering are a densely ordered set in this sense, as … Wikipedia
Set (mathematics) — This article gives an introduction to what mathematicians call intuitive or naive set theory; for a more detailed account see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory. The intersection of two sets is… … Wikipedia
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
Generating set of a topological algebra — A generating set S of a topological algebra (e.g., a Banach algebra) A is a subset of A such that the smallest closed subalgebra of A containing S is A itself.Since polynomials are dense in the set C [0,1] of continuous functions on the interval… … 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
Reduced instruction set computer — The acronym RISC (pronounced risk ), for reduced instruction set computing, represents a CPU design strategy emphasizing the insight that simplified instructions which do less may still provide for higher performance if this simplicity can be… … Wikipedia
Gδ set — In the mathematical field of topology, a Gδ set, is a subset of a topological space that is a countable intersection of open sets. The notation originated in Germany with G for ( German : area) meaning open set in this case and δ for ( German :… … Wikipedia
Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment … Wikipedia
Null set — In mathematics, a null set is a set that is negligible in some sense. For different applications, the meaning of negligible varies. In measure theory, any set of measure 0 is called a null set (or simply a measure zero set). More generally,… … Wikipedia
