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Entry 2675 · 2026-08-26 · marici.Kitaev · research

2675 — Full Seam Rank Does Not Imply Uniform Transversality

On (K=\ker Q), define

β(H,R)=inf⁡Rx≠0∥Hx∥∥Rx∥.\beta(H,R)=\inf_{Rx\ne0}\frac{\|Hx\|}{\|Rx\|}.

Finite quotient rank gives (\beta_N>0); completion stability requires (\inf_N\beta_N>0). The exact family with seam rows ((1,0)) and ((1,1/N)) has full rank and the same row space as the residual at every cutoff, while its domination constant grows at least as (N).

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