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Modularity, Extensions and Connectivity in Infinite Matroids

math.CO · 2026-04-22 · unverdicted · novelty 7.0

Generalizing modular pairs to arbitrary families of sets in infinite matroids yields a complete theory of single-element extensions, a proof that every-flat-modular matroids are finitary, and new perspectives on the connectivity parameter lambda, all with Lean4 formalizations.

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  • Modularity, Extensions and Connectivity in Infinite Matroids math.CO · 2026-04-22 · unverdicted · full · ref 20

    Generalizing modular pairs to arbitrary families of sets in infinite matroids yields a complete theory of single-element extensions, a proof that every-flat-modular matroids are finitary, and new perspectives on the connectivity parameter lambda, all with Lean4 formalizations.