SMALLNESS OF THE SET OF CRITICAL VALUES OF DISTANCE FUNCTIONS IN TWO‐DIMENSIONAL EUCLIDEAN AND RIEMANNIAN SPACES

DOI10.1112/mtk.12020zbMath1441.53029arXiv1903.09492OpenAlexW3098698020WikidataQ114077803 ScholiaQ114077803MaRDI QIDQ5112832

Jan Rataj, Luděk Zajíček

Publication date: 9 June 2020

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.09492

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of local Riemannian geometry (53B21) Neighborhoods of submanifolds (57N40)

Cites Work

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• On sets of critical values in the real line
• Sets of constant distance from a compact set in 2-manifolds with a geodesic metric
• A.D. Alexandrov spaces with curvature bounded below
• On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure

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