No Krasnosel'skiĭ number for general sets

DOI10.1007/s11856-023-2501-0arXiv2012.06014OpenAlexW4387478555MaRDI QIDQ6076196

Micha A. Perles, Chaya Keller

Publication date: 23 October 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.06014

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX) General convexity (52Axx) Set theory (03Exx)

Cites Work

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• Finitely starlike sets whose F-stars have positive measure
• A family of examples showing that no Krasnosel'skii number exists for orthogonal polygons starshaped via staircase \(n\)-paths
• Some Krasnosel'skij numbers for finitely starlike sets in the plane
• Unsolved problems in geometry
• Clear visibility, starshaped sets, and finitely starlike sets
• Generalized convex kernels of simply connected \(L_n\) sets in the plane
• Some properties of \(L\) sets in the plane
• A Proof of the Equivalence of Helly's and Krasnoselski's Theorems
• Set Theory
• On L n Sets, the Hausdorff Metric, and Connectedness
• Local Convexity and L n Sets

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