Difference between revisions of "Interior point of a set"
From Encyclopedia of Mathematics
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| − | A point which belongs to the given set together with some open set which contains it. If | + | A point which belongs to the given set together with some open set which contains it. If $x$ is an interior point of a set $A$, then $A$ is said to be a neighbourhood of the point $x$ in the broad sense. |
Revision as of 17:20, 11 April 2014
in a topological space
A point which belongs to the given set together with some open set which contains it. If $x$ is an interior point of a set $A$, then $A$ is said to be a neighbourhood of the point $x$ in the broad sense.
How to Cite This Entry:
Interior point of a set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Interior_point_of_a_set&oldid=17856
Interior point of a set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Interior_point_of_a_set&oldid=17856
This article was adapted from an original article by S.M. Sirota (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article