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Connected space


 

In topology and related branches of mathematics, a connected space is a topological space which cannot be written as the disjoint union of two or more nonempty spaces. Connectedness is one of the principal topological properties that is used to distinguish topological spaces. A stronger notion is that of a path-connected space, which is a space where any two points can be joined by a path.

Related Topics:
Topology - Mathematics - Topological space - Disjoint union - Topological properties - Path

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~ Table of Content ~

Introduction
Formal definition
Examples
Path connectedness
Local connectedness
Theorems
See also

 

 

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