2 problems

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The conjecture that rosy fields are bounded and pseudo real closed
Krupiński's conjecture. Any rosy field is bounded and pseudo real closed (PRC).
Conjectureopenfield-arithmetic model-theory rosy-theoriesarXiv posted 2 days ago
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Conjecture that first homology groups of strong types are Lascar-group abelianizations
Abelianization conjecture. These first homology groups are isomorphic to the abelianization of the Lascar group:
Conjectureopenlascar-groups model-theory rosy-theoriesarXiv posted 2 days ago

The conjecture that rosy fields are bounded and pseudo real closed