THE PRIME SPECTRUM OF SOLENOIDAL MANIFOLDS

The paper proves that the asymptotic Steinitz order Πa[P] is a homeomorphism invariant of a solenoidal manifold (Theorem 1.4) via monodromy Cantor actions and return equivalence of actions, identifying Π[P] with a relative Steinitz order and showing the latter is invariant under return equivalence . The model’s solution independently derives the same invariance through a McCord-style zig–zag between cofinal subsequences of the two presentations and a prime-wise valuation argument. Aside from a minor notational/directionality hiccup in the zig–zag identities, the reasoning is sound if one assumes the classical pro-equivalence/zig–zag for inverse limits with finite covering bonding maps (as in McCord 1965), so both are correct but use different proofs.