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connectedness

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connectedness

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Also known as contiguousness

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).

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Connectedness
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5 sections
Contents
  • 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==

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