[math] \newcommand{\mathds}{\mathbb}[/math]

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Given a real algebraic manifold of the free complex sphere,

[[math]] X\subset S^{N-1}_{\mathbb C,+} [[/math]]

and an integer [math]K\in\mathbb N[/math], construct a universal [math]K\times K[/math] model for [math]C(X)[/math],

[[math]] \pi_K:C(X)\to M_K(C(T_K)) [[/math]]

with [math]T_K[/math] being the space of all [math]K\times K[/math] models for [math]C(X)[/math].