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Summary Of: Open set

the largest such open set is called the... an open set and a closed set respectively... An important point is that an open set is not the opposite of...

Encyclodia Page On: Open set

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metric topology | mathematics | set | distance | interval | real numbers | usual topology | 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 union of the red and blue points is a closed set. | | interior point | Euclidean n-space | given any | there exists | Euclidean distance | neighbourhood | metric space | topological spaces | countably many | Gδ | empty set | union | intersection | topology | topological space | metric spaces | uniform spaces | subset | interior | function | continuous | preimage | open | image | real line | rational numbers | real numbers | clopen sets | connected spaces | empty set | union | closed set | complement | Closed set | Clopen set | Neighbourhood | PlanetMath | Categories | General topology |
This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "Open set".