Combinatorial description around any vertex of a cubical n-manifold

DOI10.15446/recolma.v55n2.102509zbMath1503.57028OpenAlexW4297878644MaRDI QIDQ5090221

Rogelio Valdez, Gabriela Hinojosa

Publication date: 18 July 2022

Published in: Revista Colombiana de Matemáticas (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15446/recolma.v55n2.102509

zbMATH Keywords

complete graphclosed pathscubical manifolds

Mathematics Subject Classification ID

Triangulating manifolds (57Q15) Smoothing in differential topology (57R10) Group actions on combinatorial structures (05E18) Higher-dimensional knots and links (57K45)

Cites Work

• Manifolds with transverse fields in euclidean space
• Combinatorial groupoids, cubical complexes, and the Lovász Conjecture
• Smoothing a topological manifold
• Finite-type invariants of cubic complexes.
• Any smooth knot \(\mathbb S^{n} \hookrightarrow \mathbb R^{n+2}\) is isotopic to a cubic knot contained in the canonical scaffolding of \(\mathbb R^{n+2}\)
• A manifold which does not admit any differentiable structure
• Cubulations, immersions, mappability and a problem of habegger
• Smoothing closed gridded surfaces embedded in ℝ4

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