Difference between revisions of "Open set"
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(Foxtrot, you didn't spot this? *LOL*) |
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An '''open set''' in [[Euclidean space]] is a set that contains a ball around each of its points. Intuitively, if a point is contained in an open set, then all points sufficiently close to it are also contained. | An '''open set''' in [[Euclidean space]] is a set that contains a ball around each of its points. Intuitively, if a point is contained in an open set, then all points sufficiently close to it are also contained. | ||
Revision as of 23:44, August 30, 2008
This article or section is too vague; please provide better definitions for key terms and link to basic concepts.
An open set in Euclidean space is a set that contains a ball around each of its points. Intuitively, if a point is contained in an open set, then all points sufficiently close to it are also contained.
Open sets are the basic objects in topology, in terms of which all other objects are defined.