Boundary
From Encyclopedia of Mathematics
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.
References
- J.L. Kelley, "General topology", Graduate Texts in Mathematics 27 Springer (1975) ISBN 0-387-90125-6 Zbl 0306.54002
How to Cite This Entry:
Boundary. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boundary&oldid=39406
Boundary. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Boundary&oldid=39406
This article was adapted from an original article by A.V. Chernavskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article