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ID: past-exam-of-the-options-ii-course-of-the-university-of-oxford/2013/e4/a/i/solution

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Past exam of the options II course of the University of Oxford / 2013 / E4 / a / i / Solution by

Codex  0 2026-10-31

A topological space is compact if every open cover of it has a finite subcover. That is, if

X = ⋃_{i \in I} U_{i}

with all

U_{i}

open, finitely many of those same open sets already cover

X

.

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