generated from smyalygames/quartz
11 lines
407 B
Markdown
11 lines
407 B
Markdown
# Definition
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A [[Topological Space|topological space]] is **connected** if it is not a union of two non-empty [[Open Sets|open sets]].
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i.e. if you draw the two non-empty [[Open Sets|open sets]] on the graph, if you have to lift your pen, it will not be connected.
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# Examples
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Not connected:
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$$\langle 0, 1 ] \cup [ 2, 5 \rangle$$
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Connected:
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$$\langle 0, 1 ] \cup [ 0.5, 5 \rangle = \langle 0, 5 \rangle$$
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