 Solution

ID: past-exam-of-the-metric-spaces-and-complex-analysis-course-of-the-university-of-oxford/2015/2/a/ii/solution

x, y

γ : [0, 1] \to X

with

γ (0) = x

and

γ (1) = y

\forall x, y \in X \exists γ : [0, 1] \to X continuous joining x to y .

The path must remain in

X

, including at its endpoints.

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