= Interior-point swallowing time for a Loewner chain
{title2=$T_z$}
= Loewner swallowing time
{c}
{synonym}
For a continuous <Loewner driving function> $U$, $T_z$ is the maximal lifetime of $g_t(z)$ in the <complex upper half-plane> under the <Chordal Loewner equation>. A finite lifetime has $\operatorname{Im}g_t(z)\to0$ as $t\uparrow T_z$: otherwise the continuous driver and the <ordinary differential equation> continue the solution. A swallowed point need not have been visited by the <Loewner trace>; it may lie in a disconnected pocket of the filled hull.
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