Decomposable continuum
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In point-set topology, a continuum is decomposable if and only if it is the union of two of its proper subcontinua. This is in contrast to an indecomposable continuum.
In terms of group theory, a Group (mathematics) that has the decomposable property is one that can be represented as a direct product of two proper nontrivial subgroups. Otherwise, it is said to be an indecomposable group.