2023 (source code)
= 2023
{scope}
{title2=B3.5}
{title2=A12158W1}
Solutions to all three questions of the <topology and groups course of the University of Oxford> Part B examination, sat on 31 May 2023. Source: https://www.whatdotheyknow.com/request/request_for_mathematics_examinat/response/3129786/attach/3/FOI%20202507%20740%20Data.pdf#page=221[original released PDF, bundle pages 221–223; paper pages 1–3]. The Mathematics and Statistics version is labelled B3.4. All eighteen parts are treated below. Question 3(a)(iii), as printed, needs an additional hypothesis such as <local path connectedness>; its solution includes both the intended argument and a counterexample to the unrestricted assertion.
Throughout Question 1, $I=[0,1]$ has its usual <topology>, and the <mapping cylinder> uses the paper's convention that $(x,1)$ is attached to $f(x)$.
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