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The Szczarba map and the cubical cobar construction

math.AT · 2025-07-02 · unverdicted · novelty 3.0

Proves that Szczarba operators induce a simplicial map from the triangulated cubical cobar construction of a 1-reduced simplicial set to a simplicial group, confirming a prior result and implying comultiplicativity of the induced dga map.

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  • The Szczarba map and the cubical cobar construction math.AT · 2025-07-02 · unverdicted · none · ref 6

    Proves that Szczarba operators induce a simplicial map from the triangulated cubical cobar construction of a 1-reduced simplicial set to a simplicial group, confirming a prior result and implying comultiplicativity of the induced dga map.