Higher discrete homotopy groups of graphs

DOI10.5802/alco.151zbMath1460.05207arXiv2003.02390OpenAlexW3131507307MaRDI QIDQ2660378

Bob Lutz

Publication date: 30 March 2021

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.02390

zbMATH Keywords

Hurewicz theoremdiscrete homotopy\(A\)-theorydiscrete singular cubical homology

Mathematics Subject Classification ID

Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20) Combinatorial aspects of simplicial complexes (05E45) Homotopy groups (55Q99)

Related Items (2)

Fundamental Groupoids for Graphs ⋮ Strong homotopy induced by adjacency structure

Cites Work

• Unnamed Item
• The discrete fundamental group of the order complex of \(B_n\)
• Algebraic topology
• Discrete cubical and path homologies of graphs
• Homotopy theory of graphs
• Perspectives on \(A\)-homotopy theory and its applications
• The homotopy groups of a triad. II
• Discrete homology theory for metric spaces
• $k$-Parabolic subspace arrangements
• Manifolds: Hausdorffness versus homogeneity
• Foundations of a connectivity theory for simplicial complexes

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