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Connection number

From Encyclopedia of Mathematics
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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
This article was adapted from an original article by V.I. Malykhin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article