- closed-open set
- мат.открыто-замкнутое множество
English-Russian scientific dictionary. 2008.
closed-open set
Смотреть что такое "closed-open set" в других словарях:
Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… … Wikipedia
open set — noun a) Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary. b) A set which can be described as an… … Wiktionary
closed — [klōzd] adj. 1. not open; shut [a closed door] 2. covered over or enclosed [a closed wagon] 3. functioning independently; self sufficient [a closed economic system] 4. not receptive to new or different ideas [a closed mind] 5 … English World dictionary
Closed set — This article is about the complement of an open set. For a set closed under an operation, see closure (mathematics). For other uses, see Closed (disambiguation). In geometry, topology, and related branches of mathematics, a closed set is a set… … Wikipedia
Open and closed maps — In topology, an open map is a function between two topological spaces which maps open sets to open sets.[1] That is, a function f : X → Y is open if for any open set U in X, the image f(U) is open in Y. Likewise, a closed map is a function… … Wikipedia
open — openly, adv. openness, n. /oh peuhn/, adj. 1. not closed or barred at the time, as a doorway by a door, a window by a sash, or a gateway by a gate: to leave the windows open at night. 2. (of a door, gate, window sash, or the like) set so as to… … Universalium
open — I. adjective (opener; openest) Etymology: Middle English, from Old English; akin to Old High German offan open, Old English ūp up Date: before 12th century 1. having no enclosing or confining barrier ; accessible on all or nearly all sides … New Collegiate Dictionary
Open mapping theorem (functional analysis) — In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is… … Wikipedia
Open mapping theorem (complex analysis) — In complex analysis, the open mapping theorem states that if U is a connected open subset of the complex plane C and f : U → C is a non constant holomorphic function, then f is an open map (i.e. it sends open subsets of U to open subsets of… … Wikipedia
closed set — Math. a set that contains all of its accumulation points, as the set of points on and within a circle; a set having an open set as its complement. * * * closed set noun (mathematics) A set in which the result of combining any two members of the… … Useful english dictionary
closed set — noun A set whose complement is open. See Also: open set … Wiktionary
