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connectedness
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In mathematics, connectedness is used to refer to various properties meaning, in some sense, "all one piece". When a mathematical object has such a property, we say it is connected; otherwise it is disconnected. When a disconnected object can be split naturally into connected pieces, each piece is usually called a component (or connected component).
~5 min read
Encyclopedic overview
5 sectionsContents
- Connectedness in topology
- Other notions of connectedness
- Connectivity
- See also
- References
In mathematics, connectedness is used to refer to various properties meaning, in some sense, "all one piece". When a mathematical object has such a property, we say it is connected; otherwise it is disconnected. When a disconnected object can be split naturally into connected pieces, each piece is usually called a component (or connected component).
==Connectedness in topology==
Excerpted from Wikipedia’s “connectedness” article, available under the CC BY-SA 4.0 licence.