Closed Set

(General Topology)

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General Topology
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What is Closed set?

In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set. In a topological space, a closed set can be defined as a set which contains all its limit points. In a complete metric space, a closed set is a set which is closed under the limit operation.

Technology Types

general topology

Synonyms

ClosedClosed subset

Translations

Abgeschlossene Menge (de)Conjunto cerrado (es)Conjunto fechado (pt)Fermé (topologie) (fr)Fermita aro (eo)Gesloten verzameling (nl)Insieme chiuso (it)Sluten mängd (sv)Uzavřená množina (cs)Zbiór domknięty (pl)Замкнута множина (uk)Замкнутое множество (ru)مجموعة مغلقة (ar)닫힌 집합 (ko)閉集合 (ja)闭集 (zh)

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 — Date merged: 11/6/2021, 1:32:52 PM
 — Date scraped: 5/20/2021, 5:59:55 PM