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Non-definability of the contraction map in monadic expansions
Let $(\Gamma,\psi)$ be the asymptotic couple under consideration, and let $\chi\colon\Gamma\setminus\{0\}\to\Gamma$ be the contraction map defined by … A non-definability conjectur…
Conjectureopenasymptotic-couples definability model-theoryarXiv posted 2 days ago
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The non-definability conjecture for asymptotic couples in precontraction groups
Non-definability conjecture. In no nontrivial precontraction group $(\Gamma,\chi)$ can one define, even allowing parameters, a function $\psi:\Gamma^{\neq}\to\Gamma$ such that…
Conjectureopenasymptotic-couples model-theory ordered-abelian-groupsarXiv posted 2 days ago

Non-definability of the contraction map in monadic expansions