(adsbygoogle = window.adsbygoogle || []).push({}); Basic question: meaning of "partition of R into maximal connected intervals"

What does the phrase "partition of [tex]R[/tex] into maximal connected intervals" mean?

The full sentence: "Let [tex]I_1, I_2, .... ,I_m[/tex] be the partition of [tex]R[/tex] into maximal connected intervals with disjoint interiors."

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# Basic question: meaning of partition of R into maximal connected intervals

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