Erno Nemecsek

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43 Answers

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24	Coffee Break Riddle
10	Classical texts that should not be missing from any shelf
7	Real life applications of Topology
7	Ring theory exercises at the graduate level
7	Who are some forgotten mathematicians?

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1,921 Reputation

+5	Integral closure $\tilde{A}$ is flat over $A$, then $A$ is integrally closed
+5	$\int_X \|f_n - f\| \,dm \leq \frac{1}{n^2}$ for all $n \geq 1$ $\implies$ $f_n \rightarrow f$ a.e.
+5	$\lim\limits_{n \rightarrow \infty} \int_X n \log \left( 1 + \frac{\|f(x)\|^2}{n} \right) \,dm(x) = \int_X \|f(x)\|^2 \,dm(x)$
+5	$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain

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14 Questions

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10	Space of homeomorphisms Homeo$(S^1)$ of $S^1$ deformation retracts onto $O(2)$
7	$\int_X \|f_n - f\| \,dm \leq \frac{1}{n^2}$ for all $n \geq 1$ $\implies$ $f_n \rightarrow f$ a.e.
6	$\mathbb{Q}[x,y]/\langle x^2+y^2-1 \rangle$ is an integral domain
5	$(1+p)^n$ is not $1 \pmod {p^r}$ when $n < p^{r-1}$
4	Proving $5^n \equiv 1 \pmod {2^r}$ when $n=2^{r-2}$

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59 Tags

24 recreational-mathematics	12 reference-request × 11
24 puzzle	11 elementary-number-theory × 3
22 soft-question × 7	7 algebraic-topology × 4
21 general-topology × 9	7 homework × 4
17 big-list × 8	7 math-history × 2

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$Mathematics Stack Exchange$	Mathematics	1,921 rep	627
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882 Votes Cast

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