3 problems

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The Texan conjecture on the dimension spectrum of continued fractions
Texan conjecture. The dimension spectrum is full:
Conjecturesolvedcontinued-fractions dimension-spectrum fractal-geometryarXiv posted 2 days ago
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Petrosyan's no-jump conjecture for cohomological dimension
Petrosyan's no-jump conjecture. For groups with no $R$ -torsion, no jump can occur in $\operatorname{cd}_R$ .
Conjectureopencohomological-dimension dimension-spectrum group-theoryarXiv posted 2 days ago
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Lutz's dimension spectrum conjecture for planar lines
Lutz's dimension spectrum conjecture. For every line $L_{a,b}$ , the spectrum $\operatorname{sp}(L_{a,b})$ contains a unit interval. The conjecture concerns which effective dimensio…
Conjectureopenalgorithmic-information-theory dimension-spectrum effective-dimensionarXiv posted 2 days ago

The Texan conjecture on the dimension spectrum of continued fractions