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  "body": "\n## Definition\n\nLet $X$ be a [[continuum|NJQ196M1WR]].\nThe continuum $X$ is *decomposable* if there are subcontinua $A$ and $B$ of $X$ with $A \\neq X$, $B \\neq X$ and $X = A \\cup B$.\nThe continuum $X$ is *indecomposable* if it is not decomposable.\nIt is *hereditarily indecomposable* if every subcontinuum of $X$ is indecomposable.\n\n## Remarks\n\nThe interval $[0, 1]$ is decomposable, since $[0, 1] = [0, 1/2] \\cup [1/2, 1]$ with both pieces proper subcontinua.\nA one-point continuum is indecomposable in a trivial way, because its only subcontinuum is itself.\nThe Knaster bucket handle and the [[pseudo-arc|VGCTDCGS6V]] are nondegenerate indecomposable continua.\nA continuum is indecomposable if and only if every proper subcontinuum has empty [[interior|0RZH6W98HK]].\n\n## Explanations\n\n### L1 human\n\nAn indecomposable continuum is a compact space in one piece that cannot be written as the union of two smaller compact pieces in one piece.\n",
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