Connection number
From Encyclopedia of Mathematics
The cardinality of the family of connectivity components in a topological space. For example, if from the real line one removes 
points 
, then the components of the remainder are the sets
 |
and so the connection number is 
.
The term "connection number" is also used in the following sense. A domain in a Euclidean space is called 
-connected if its boundary consists of 
disjoint connected subsets. For example, the interior of a disc is a 
-connected domain, the interior of an annulus is 
-connected.
How to Cite This Entry:
Connection number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Connection_number&oldid=31869
Connection number. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Connection_number&oldid=31869
This article was adapted from an original article by V.I. Malykhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article