Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 175-03. Talagrand’s discrete-convexity conjecture
Manuscript map · lines 5645–5654
OpenAI@2026-10-07#rem:oai-p-175-03
Authors: OpenAI. Family 175.
Title: Talagrand’s discrete-convexity conjecture.
Abstract: We prove Talagrand's discrete-convexity conjecture. There is a universal integer k such that, whenever an arbitrary family has Bernoulli product measure at least $1-1/k$, the sets not contained in a union of k members admit a cover of total cost at most 1/2 at the same density.
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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