Stratified Universality

Download original file

This is the original TeX manuscript source. Use the paper’s PDF for typeset equations.

Read the typeset paper

1 \begin{landscape}
2 \begin{table}[htbp]
3 \centering
4 \scriptsize
5 \caption{Certified classification components and exact boundaries.}
6 \label{tab:block14-scope}
7 \begin{tabularx}{\linewidth}{@{}L{0.15\linewidth}L{0.23\linewidth}L{0.30\linewidth}Y@{}}
8 \toprule
9 Component & Semantic domain & Complete descended coordinates & Boundary \\
10 \midrule
11 Digital--regular--linear--Mahler & Fixed-prime regular sequences with rational-mask and periodic subloci & Strict shortlex state, Cartier/mask data where defined, periodic linear data where defined & No all-radix or unrestricted functional/Newton-Mahler equivalence \\
12 Continuous local & $C(\mathbb Z_p,\mathbb Z_p)$ & Canonical Mahler coefficients and complete clopen branch packets & No universal local-analytic normal form or optimal mixed-radix tree \\
13 Marked Fuss & $U=z+\alpha U^q$ & Marked parameters $(q,\alpha)$, algebraic branch, recurrence, tree support and orbit data & Complete only on the marked nonlinear--algebraic--holonomic family \\
14 Euler--multiplicative & Fixed Euler basis and prime-uniform multiplicative locus & Euler exponent, divisor ghost, common local factor, multiplicative function & No arbitrary product-grammar or additive--multiplicative equivalence \\
15 Finite Galois & One finite semisimple Galois extension & Subgroup, fixed field, Reynolds projector, quotient and Mackey data & No modular/wild or nonneutral tensor reconstruction \\
16 \bottomrule
17 \end{tabularx}
18 \end{table}
19 \end{landscape}

Back to source controls

Back to Stratified Universality