Lesson plan
Representability
Representability in mathematics can refer to * representable functors in category theory * representable matroids in matroid theory * Birch's theorem about the representability of zero by odd degree forms * Brauer's theorem on the representability of zero by forms over certain fields in sufficiently many variables * Brown's representability theorem in homotopy theory
Article summary
Representability in mathematics can refer to * representable functors in category theory * representable matroids in matroid theory * Birch's theorem about the representability of zero by odd degree forms * Brauer's theorem on the representability of zero by forms over certain fields in sufficiently many variables * Brown's representability theorem in homotopy theory
Key claims
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
Bibliography
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