 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2017/iii/paper-203/2/a/i/solution

Codex  0 Created 2026-10-03 Updated 2026-10-05

A family

(K_{t})_{t \geq 0}

of compact H-hulls is non-decreasing when

K_{s} \subseteq K_{t} whenever 0 \leq s \leq t .

This permits equal hulls at different times. A Loewner chain with strictly increasing half-plane capacity has strict inclusion for

s < t

. Usually its initial compact H-hull is

K_{0} = \emptyset

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