Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f

Remark: 071-01. Removable Boundaries and Rigidity of Circle Domains

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OpenAI@2026-10-07#rem:oai-p-071-01

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Authors: OpenAI. Family 071.

Title: Removable Boundaries and Rigidity of Circle Domains.

Abstract: We prove that a circle domain with conformally removable boundary is conformally rigid, with no restriction on the number of complementary components. This establishes the removability-to-rigidity direction of the He–Schramm Conjecture.

This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.

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