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38 votes
3 answers
8k views

The error in Petrovski and Landis' proof of the 16th Hilbert problem

What was the main error in the proof of the second part of the 16th Hilbert problem by Petrovski and Landis? Please see this related post and also the following post.. For Mathematical development ...
15 votes
8 answers
4k views

Are there some original papers or books related to applications of algebraic topology and algebraic geometry in complex dynamic systems

Recently I have much interest in algebraic topology and algebraic geometry. I am a student of the field of complex dynamical systems. According to my knowledge, my friends told me that there are many ...
8 votes
1 answer
461 views

Existence of at least one compact orbit on the sphere

Good morning, I've came across this question during my researches. It seems apparently very simple, however I Googled a bit and I couldn't find the answer I was looking for. The question is as ...
3 votes
0 answers
141 views

Which is the number of independent components of a flat spin connection in a 4 dimension Weitzenböck spacetime?

A spin connection $A_{ab\mu}=-A_{ba\mu}$ has 24 components. The number of independent components for a flat spin connection can be counted by subtracting the constrains set by the condition of null ...