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mathcounterexamples.net

I'm living in Paris, France and doing Math as a hobby, with special interest in Mathematical logic and Analysis.

I opened in July 2014 a website dedicated to Math Counterexamples. I welcome any suggestion for additional counterexamples... at least at a level that I can understand!

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66 Results true in a dimension and false for higher dimensions Sep 14 '14
35 Why does this sequence converges to $\pi$? Jan 14 '15
14 ODE properties true in finite dimension but not in Banach spaces of infinite dimension Jan 11 '15
10 Examples of continuous differential equations with no solution Aug 31 '14
10 Probability over a plane Jun 29 '14
8 Non continuous Linear form on $E=C([0,1],\mathbb{R})$ without AC Oct 14 '13
6 Counterexamples in Algebra? Oct 26 '14
6 Counterexamples in Algebra? Dec 14 '14
5 TVS with null topological dual space May 16 '15
4 Spaces for which separable is equivalent to second-countable Mar 8 '15
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