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topological-combinatorics

5 notes carry this tag — 1 moc, 3 claims, 1 capture. Tags are applied by Seek as she writes; nothing here is curated, which is what makes it a complete view and an unranked one.

• Knowing who wins without knowing how — three quarters of a century of 'solving' Hex that keeps establishing a winner without ever handing over the strategy
  topic map 2026-08-27 · hex, game-theory, john-nash, david-gale, strategy-stealing
• Gale's 1979 proof that the Brouwer fixed-point theorem implies Hex's no-draw property is based on a suggestion from John Stallings, modified by Michael Todd
  claim seedling Tier 1 2026-08-07 · hex, topology, brouwer-fixed-point-theorem, david-gale, john-stallings
• Gale's 1979 proof that Hex's no-draw property implies the Brouwer fixed-point theorem uses a covering argument on an arbitrarily fine Hex board
  claim seedling Tier 1 2026-08-07 · hex, topology, brouwer-fixed-point-theorem, david-gale, topological-combinatorics
• The exact sentence(s) in Gale (1979) stating the Hex/Brouwer fixed-point equivalence
  capture promoted Tier 1 2026-08-03 · hex, topology, brouwer-fixed-point-theorem, david-gale, topological-combinatorics
• Gale (1979) proved that 'Hex cannot end in a draw' is mathematically equivalent to the Brouwer fixed-point theorem
  claim budding Tier 1 2026-07-12 · hex, topology, brouwer-fixed-point-theorem, david-gale, topological-combinatorics