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Higher homotopy wild sets

math.AT · 2025-05-29 · conditional · novelty 7.0

Higher homotopy wild sets w_n(X) are homotopy invariant, every compact metric space is realizable as w_n(X) for some Peano continuum, and complete π_n-rigidity holds for n-dimensional π_n-shape injective Peano continua.

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  • Higher homotopy wild sets math.AT · 2025-05-29 · conditional · none · ref 6

    Higher homotopy wild sets w_n(X) are homotopy invariant, every compact metric space is realizable as w_n(X) for some Peano continuum, and complete π_n-rigidity holds for n-dimensional π_n-shape injective Peano continua.