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mathcounterexamples.net
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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!

My LinkedIn page. A long time ago I programmed some modules of CATIA a famous computed aided design solution.

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question
66
Results true in a dimension and false for higher dimensions
Sep 14, 2014
question
36
Why does this sequence converges to $\pi$?
Jan 14, 2015
question
14
ODE properties true in finite dimension but not in Banach spaces of infinite dimension
Jan 11, 2015
question
10
Probability over a plane
Jun 29, 2014
question
10
Examples of continuous differential equations with no solution
Aug 31, 2014
question
8
Non continuous Linear form on $E=C([0,1],\mathbb{R})$ without AC
Oct 14, 2013
question
5
TVS with null topological dual space
May 16, 2015
answer
5
Counterexamples in algebra?
Oct 26, 2014
answer
5
Counterexamples in algebra?
Dec 14, 2014
question
4
Methods for proving non FO definability
Oct 23, 2012
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Latex software used by MO
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Reputation not moving up while having 27 upvotes
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30
Group $G$ whose center $Z(G)$ is cyclic and with $G/Z(G)$ commutative
23
Proof: Is there a line in the xy plane that goes through only rational coordinates?
20
Proof that the number of proofs is countably infinite
18
Is $F=\left\lbrace f: f\in C_{\left[0, 1\right]}, f\left(0\right)=f\left(1\right)\right\rbrace$ complete metric space?
18
What are your favorite instructional counterexamples on sequences?

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