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From Encyclopedia of Mathematics
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The boundary of a subspace of a given topological space is the set of points such that every neighbourhood of any point of it contains both points from and points from . The accepted notations include , , .

A synonym for the border of a manifold, such as the border of a simplex.

How to Cite This Entry:
Boundary. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boundary&oldid=39404
This article was adapted from an original article by A.V. Chernavskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article