Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 337-02. Sharp integral fillings in CAT(0) spaces
Manuscript map · lines 8935–8944
OpenAI@2026-10-07#rem:oai-p-337-02
Authors: OpenAI. Family 337.
Title: Sharp integral fillings in CAT(0) spaces.
Abstract: -spaces-September-23-2026/paper.pdf) Every compactly supported integral n-cycle, n ≥ 2, in a proper CAT(0) space bounds a compactly supported integral current with the sharp Euclidean mass bound. The theorem allows arbitrary integer multiplicities and unrestricted ambient dimension. In particular, we prove the Euclidean Cartan–Hadamard isoperimetric conjecture in dimensions at least three.
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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