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2 | Combine with the wonderful finiteness of topological spaces | ||
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(1) Proof of a theorem in finite dimensional linear algebra. The hypotheses invite us to construct a linearly independent set: extend this set to a basis and conclude. (2) Proof of a theorem related to compact topological spaces. The hypotheses invite us to construct an open cover: observe this open cover has a finite subcover and conclude. |
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1 | [made Community Wiki] | ||
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Proof of a theorem in finite dimensional linear algebra. The hypotheses invite us to construct a linearly independent set: extend this set to a basis and conclude. |
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