Result · Mathematics Foundational math Resolved

Identity Theorem

The τ-Identity Theorem establishes that if two τ-holomorphic functions agree at a single orbit depth, they agree everywhere. This is a far stronger rigidity res…

Mathematics Structural support result HOLO Book II

Overview

The τ-Identity Theorem establishes that if two τ-holomorphic functions agree at a single orbit depth, they agree everywhere. This is a far stronger rigidity result than the classical identity theorem, which requires agreement on a set with an accumulation point.

Result Statement

Agreement at one orbit depth implies agreement everywhere (τ-Identity Theorem). Status: Resolved.