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The masterpieces of John Forbes Nash Jr

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arxiv 1606.02551 v2 pith:C6LUDOI3 submitted 2016-06-08 math.AP

classification math.AP
keywords nashadheringargumentsfamousforbesfourjohnlanguage
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In this note I have tried to rewrite four famous works of Nash in a more modern language while adhering as much as possible to the original arguments.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Graphs with tree decompositions of small graphs and realizing them as the Reeb graphs of real algebraic functions

    math.AG 2025-08 conditional novelty 4.0 of 10

    Every tree, and certain graphs assembled from single edges and small circles, is the Reeb graph of a Morse-Bott real algebraic function defined by degree-1 and degree-2 polynomials.

  2. Reconstruction of real algebraic functions into curves with prescribed Reeb graphs

    math.AG 2025-07 conditional novelty 4.0 of 10

    For any finite graph satisfying genericity conditions and any dimension at least 2, the paper constructs real algebraic maps to curves whose Reeb graph is isomorphic to the graph.

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