Interior of a set
From Encyclopedia of Mathematics
in a topological space 
The set of interior points of 
(cf. Interior point of a set). It is usually denoted by 
. Invariably, 
, where 
is the boundary of 
. The interior of 
is also equal to the union of all subsets of 
that are open in the entire space. The interior of a set is sometimes known as the open kernel.
How to Cite This Entry:
Interior of a set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Interior_of_a_set&oldid=31529
Interior of a set. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Interior_of_a_set&oldid=31529
This article was adapted from an original article by S.M. Sirota (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article