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Krasnosel'skii-type theorems for dent edges in orthogonal polygones

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Publication:1842007
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DOI10.1007/BF01198673zbMath0817.52009MaRDI QIDQ1842007

Marilyn Breen

Publication date: 18 April 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

orthogonal polygonKrasnoselskii-type theoremsstaircase kernelsstarshaped (via staircase paths)


Mathematics Subject Classification ID

Helly-type theorems and geometric transversal theory (52A35) Variants of convex sets (star-shaped, ((m, n))-convex, etc.) (52A30)




Cites Work

  • Covering orthogonal polygons with star polygons: The perfect graph approach
  • A Krasnosel'skij theorem for staircase paths in orthogonal polygons
  • An improved Krasnosel'skij type theorem for orthogonal polygons which are starshaped via staircase paths
  • A Krasnosel'skii-Type Theorem for Points of Local Nonconvexity
  • Local Convexity and L n Sets
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