Last Updated：2025/11/25

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(of a topological space) In which every geodesic triangle satisfies that every point on the triangle is within a distance of δ (some constant) of each side of the triangle.

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δ-hyperbolic

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Source Word

δ-hyperbolic

Adjective

not-comparable of a topological space

(of a topological space) In which every geodesic triangle satisfies that every point on the triangle is within a distance of δ (some constant) of each side of the triangle.

Japanese Meaning

（位相空間が）すべての測地線三角形において、各辺から全ての点が定数 δ の距離内にある性質

What is this buttons?

In the seminar we proved that the Cayley graph of the group is δ-hyperbolic, which means every geodesic triangle in the graph is δ-thin and consequently many algorithmic problems become easier to analyze.

Google Translation / DeepL Translation

ゼミでは、この群のケーリーグラフがδ-双曲的であること、つまりグラフ内の任意の測地線三角形の各点が三角形のいずれかの辺からある定数δ以内にあるという性質を示し、その結果、多くのアルゴリズム的問題が解析しやすくなりました。

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(of a topological space) In which every geodesic triangle satisfies that every point on the triangle is within a distance of δ (some constant) of each side of the triangle.

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δ-hyperbolic

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δ-hyperbolic

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