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There follows self-contained proofs of the existence of indecomposable continua and hereditarily indecomposable continua in the plane, and of Knaster’s theorem of existence and Mazurkiewicz’s theorem on the Baire category of the set of hereditarily indecomposable continua in the Hausdorff metric.

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Decomposable and Indecomposable Continua

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  • 发表日期：

    2025年

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  • Boris Buffoni,
  • John Toland

摘要

There follows self-contained proofs of the existence of indecomposable continua and hereditarily indecomposable continua in the plane, and of Knaster’s theorem of existence and Mazurkiewicz’s theorem on the Baire category of the set of hereditarily indecomposable continua in the Hausdorff metric.