Let 𝒜 be the category of all reduced compact complex spaces,
viewed as a multi-sorted first order structure, in the standard
way. Let 𝒰 be a sub-category of 𝒜, which is closed under
the taking of products and analytic subsets, and whose morphisms
include the projections. Under the assumption that Th(𝒰) is
unidimensional, we show that Morley rank is equal to Noetherian
dimension, in any elementary extension of 𝒰. As a result, we
are able to show that Morley degree is definable in Th(𝒰),
when Th(𝒰) is unidimensional.