CNS0017activev1Boundary-first inversion
Book II reverses the classical order in which topology is chosen first, continuity is defined over it, and holomorphy is then imposed as an analytic condition.
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Book II reverses the classical order in which topology is chosen first, continuity is defined over it, and holomorphy is then imposed as an analytic condition. In τ, the admissible ω-germ transformer grammar of Book I is primary: holomorphy/probe compatibility supplies continuity; continuity supplies topology; topology supplies geometry. This inversion is the reason Book II can earn topology from the kernel rather than borrow it as ambient structure. The inspection question is correspondingly sharp: whether any topological assumption enters before the ω-germ/probe grammar has earned it.
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