Homotopy type of planar Peano continua

DOI10.1016/j.aim.2021.107971zbMath1491.55009arXiv1709.09211OpenAlexW3198009879MaRDI QIDQ2232720

Curtis Kent

Publication date: 8 October 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.09211

zbMATH Keywords

oscillationhomotopy typePeano continuaaspherical

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Homotopy groups of special spaces (55Q52)

Related Items (2)

Shortest paths in arbitrary plane domains ⋮ Peano dimension of fundamental groups

Cites Work

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• The Fundamental Group of One-Dimensional Spaces
• Homotopy types of one-dimensional Peano continua
• The homotopy dimension of codiscrete subsets of the 2-sphere S²
• Combinatorial homotopy. I
• Combinatorial homotopy. II
• On the failure of the first Čech homotopy group to register geometrically relevant fundamental group elements

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