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On planarity of compact, locally connected, metric spaces

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Publication:654007
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DOI10.1007/s00493-011-2563-1zbMath1249.05080OpenAlexW1969944193MaRDI QIDQ654007

Brendan Rooney, Carsten Thomassen, R. Bruce Richter

Publication date: 20 December 2011

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-011-2563-1

zbMATH Keywords

embeddingmetric spaceplanar graphs2-connectednessKuratowski's theoremlocally connectednessplanarity of spacesoverlapping bridgesthumbtack


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Relations of low-dimensional topology with graph theory (57M15)


Related Items

Addendum: Commentary for ``On planarity of compact, locally connected, metric spaces, Graph-like spaces: an introduction, Embedding a Graph‐Like Continuum in Some Surface



Cites Work

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  • Topological immersion of peanian continua in a spherical surface
  • Charakterisierung der Komplexe der Ebene und der 2-Sphäre
  • The locally connected compact metric spaces embeddable in the plane
  • Classification of locally 2-connected compact metric spaces
  • 3-connected planar spaces uniquely embed in the sphere
  • Fastplättbare Graphen
  • CUT POINTS IN GENERAL TOPOLOGICAL SPACES
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