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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1,943 Reputation

+20	Example of a finitely generated flat module which is not free
+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	$\lim\limits_{n \rightarrow \infty} \int_X n \log \left( 1 + \frac{\|f(x)\|^2}{n} \right) \,dm(x) = \int_X \|f(x)\|^2 \,dm(x)$

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15 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	Example of a finitely generated flat module which is not free

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60 Tags

24 puzzle	12 reference-request × 11
24 recreational-mathematics	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	1,943 rep	627
$TeX - LaTeX Stack Exchange$	TeX - LaTeX	111 rep	4
	Arqade	106 rep	3
	Ask Ubuntu	101 rep	2
	Skeptics	101 rep	2

30 Badges

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Caucus × 2	Nice Answer × 2
Nice Question	Yearling
Custodian × 2	Constituent
Informed	Good Answer
Self-Learner	Investor

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885 Votes Cast

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