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Results tagged with big-list
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user 6503
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
72
votes
Examples of eventual counterexamples
In reference to the Prime Number Theorem (then Conjecture) both Gauss and Riemann further conjectured that $\pi(n) < \operatorname{Li}(n)$ (where $\pi(n)$ is the number of primes from $1$ to $n$ and $ …
7
votes
books well-motivated with explicit examples
Trees by J-P Serre. The first half is pretty much all theory, but in the second he looks at the explicit example of $SL_2$.
3
votes
Results from abstract algebra which look wrong (but are true)
That there exist finitely presentable non-Hopfian groups. [I still remember my shock when I was first learned this result!]
A group G is Hopfian if every surjective homomorphism $\phi:G\to G$ is in fa …