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Kalton-Peck Space and its Hyperplanes

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Statement

Whether the real Kalton-Peck space Z2Z_2 is isomorphic to its hyperplanes. It is not: no hyperplane of Z2Z_2 is isomorphic to Z2Z_2, proved through a rank parity theorem for symplectic spaces applied to the Kalton-Swanson symplectic structure.

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No person has examined this. Nothing here has been checked at all. say whether it holds →

  1. proof attempt · #1

    A. Das, V. Ferenczi and Ch. Rosendal, using GPT-5.5 Pro-Extended

    That credit came with the record as it was imported. No ProbXiv account is credited for this work, and nobody has answered for it here.

    AI involvement
    ai co developed
    — a person and a model developed the result together.

    The AI use and Lean formalization section states that the principal result was first obtained through an extended interaction with ChatGPT using GPT-5.5 with Pro-Extended reasoning, which supplied an ingredient of the argument.

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