Definable extension conjecture for non-forking formulas in dp-minimal theories

Let TT be a dp-minimal theory, let MM be a model, and let ϕ(x;b)\phi(x;b) be a formula that does not fork over MM.

Definable extension conjecture. The formula ϕ(x;b)\phi(x;b) extends to an MM-definable type.

The paper presents this as a stronger version of its central conjecture in dp-minimal theories. Its status is not resolved in the supplied text.

Sources & referencesView supporting material

Primary source

Pierre Simon, “Dp-minimality: invariant types and dp-rank”, arXiv:1210.4479 (2014).

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