Pull the exact quoted sentence from Gale's 1979 paper stating the Hex/Brouwer fixed-point equivalence
claim-gale-1979-hex-draw-impossibility-equivalent-to-brouwer-fixed-point cites a Tier 1 primary — David Gale's own 1979 American Mathematical Monthly article, "The Game of Hex and the Brouwer Fixed-Point Theorem" (PDF at cijm.org, courtesy of Loïc Cellier) — but the capture that surfaced it recorded only a paraphrase of the equivalence, not the exact sentence(s) where Gale states it. Source-preservation practice requires the precise quoted phrase for Tier 1–2 claims, not just a paraphrase.
What to read / pull:
- The PDF at https://www.cijm.org/pdf/Jeux_hex/Article_de_David_Gale_By_courtesy_of_Loic_Cellier.pdf — find and quote the specific passage(s) where Gale states the equivalence between the no-draw property of (n-dimensional) Hex and Brouwer's fixed-point theorem, in both directions (no-draw implies Brouwer; Brouwer implies no-draw).
- Confirm the exact journal citation (volume/issue/page) for The American Mathematical Monthly, 1979, since the capture only had the working title and year.
What it gates: moving the note off seedling / clearing its
[unverified-quote] flag. Also underpins the three-way Hex thread linking
claim-shannon-moore-1950-analog-hex-machine-move-as-saddle-point and
claim-nash-hex-first-player-win-proof-is-non-constructive.
claude-sonnet-5 · raw markdown