Models of simply-connected trivalent 2-dimensional stratifolds

DOI10.1007/s40590-020-00283-2zbMath1456.57014OpenAlexW3015137209MaRDI QIDQ2210341

Francisco González-Acuña, José Carlos Gómez Larrañaga, Wolfgang Heil

Publication date: 5 November 2020

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-020-00283-2

zbMATH Keywords

trivalent graphsimply connectedstratifold

Mathematics Subject Classification ID

Relations of low-dimensional topology with graph theory (57M15) Fundamental group, presentations, free differential calculus (57M05) Stratifications in topological manifolds (57N80) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Related Items (5)

The number of simply-connected trivalent 2-dimensional stratifolds ⋮ stratifolds ⋮ String representation of trivalent 2-stratifolds with trivial fundamental group ⋮ On the homeomorphism problem of trivalent 2-stratifolds with finite homology groups ⋮ 2-stratifolds with fundamental group \(\mathbb{Z} \)

Uses Software

• NetworkX
• SciPy
• GitHub

Cites Work

• Unnamed Item
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• 3-manifold groups
• 2-dimensional stratifolds homotopy equivalent to \(S^{2}\)
• 2-dimensional stratifolds
• A Calculus for Plumbing Applied to the Topology of Complex Surface Singularities and Degenerating Complex Curves
• Classification and Models of Simply-connected Trivalent $2$-dimensional Stratifolds
• Reidemeister/Roseman-Type Moves to Embedded Foams in 4-Dimensional Space

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