A continuum that is not decomposable is an indecomposable continuum.
Indecomposable Continuum
See also
Continuum, Decomposable Continuum, Hereditarily Decomposable ContinuumThis entry contributed by Matt Insall (author's link)
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Insall, Matt. "Indecomposable Continuum." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/IndecomposableContinuum.html