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Preprint Sep 2026

Compact Screens and Pyramidal Compactification of Geometric Data Sets

We introduce an observable distance that compares realvalued features through a fixed bounded coordinate. The coordinate retains the distinction between finite feature values while compressing their independent escape to infinity, the source of nonseparability for the classical observable distance on all geometric data...

S. Yokota · 0 citations
Preprint Aug 2026

Extensions of One-Sided Box Geometry and Pyramid Invariants to gd-Sets and qm-Spaces

Domination of gd-sets, the relation recording which function family approximates which, is closed under box convergence. More generally, approximate 1-Lipschitz maps on asymptotically full-measure subsets, whose restricted measures converge to the target measure after pushforward, place the target representation in eve...

S. Yokota · 1 citation · ⚡1

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