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Questions designed to get an overview of a specific subject or body of results or to understand the relations among similar definitions, techniques or concepts appearing in different sub-fields of mathematics. While such questions by their very nature sometimes cannot be made very narrow and focused, it can be helpful to keep in mind that the design of MathOverflow does not make it a good fit for questions that are too broad.
14
votes
Examples of major theorems with very hard proofs that have not dramatically improved over time
I'm surprised no one has mentioned Freedman's Theorem from 1982 yet. Technically this theoerem says that Casson handles are standard, but more broadly this completes the classification of topological …
8
votes
Accepted
Using higher-order Bring radicals to solve arbitrary polynomials
The answer to the second question is "no". For a family of polynomials $p_t$ depending polynomially on a complex parameter, as in the polynomials satisfied by your $B_r(t)$, define its Galois group t …