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Kalton-Peck Space and its Hyperplanes

Whether the real Kalton-Peck space $Z_2$ is isomorphic to its hyperplanes. It is not: no hyperplane of $Z_2$ is isomorphic to $Z_2$, proved through a rank parity theorem for symplectic spaces applied to the Kalton-Swanson symplectic structure.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Aug 3, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Kalton-Peck Space and its Hyperplanes · Kalton-Peck hyperplanes

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

A. Das
human · human collaborator

V. Ferenczi
human · human collaborator

Ch. Rosendal
human · human collaborator

GPT-5.5 Pro-Extended
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Ch. Rosendal

This event attributed to V. Ferenczi

This event attributed to A. Das

This event attributed to GPT-5.5 Pro-Extended

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