Last Updated :2025/11/24

ℝ-order tree

Noun
Japanese Meaning
(位相空間論)実数直線の線分と同相な部分からなる順序木で、可算個の線分の和集合として表される順序木
What is this buttons?

非可分な木を分類するために,本論文は各区間が実直線の区間と同相であり可算個の区間の合併からなる順序木に対する不変量を導入し,それが局所的な順序型とそれらの区間への分解の両方をとらえることを示した。

plural

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(topology) An order tree whose segments are homeomorphic to segments of the real line and that is the union of countably many segments.

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ℝ-order tree

To classify nonseparable trees, the paper introduces an invariant for an ℝ-order tree that captures both the local order type and the countable decomposition into real-line segments.

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To classify nonseparable trees, the paper introduces an invariant for an ℝ-order tree that captures both the local order type and the countable decomposition into real-line segments.

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