Homology classification of spatial embeddings of a graph

DOI10.1016/0166-8641(95)00008-5zbMath0843.57012OpenAlexW1991823507MaRDI QIDQ1902979

Kouki Taniyama

Publication date: 18 August 1996

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(95)00008-5

zbMATH Keywords

finite simple graphsPL spatial embeddingsskew-symmetric cohomologyWu's invariant

Mathematics Subject Classification ID

Related Items (17)

Crossing numbers and rotation numbers of cycles in a plane immersed graph ⋮ THE SECOND SKEW-SYMMETRIC COHOMOLOGY GROUP AND SPATIAL EMBEDDINGS OF GRAPHS ⋮ On the spatial graph ⋮ Disk/band surface and spatial-graph homology ⋮ A homotopy classification of two-component spatial graphs up to neighborhood equivalence ⋮ Knotting and linking in the Petersen family ⋮ Unknottability of spatial graphs by region crossing changes ⋮ Homology classification of spatial graphs by linking numbers and Simon invariants ⋮ Reduced Wu and generalized Simon invariants for spatial graphs ⋮ Realization of knots and links in a spatial graph ⋮ COMPLETELY DISTINGUISHABLE PROJECTIONS OF SPATIAL GRAPHS ⋮ Spatial-graph isotopy for trivalent graphs and minimally knotted embeddings ⋮ ON NORMALIZATIONS OF A REGULAR ISOTOPY INVARIANT FOR SPATIAL GRAPHS ⋮ Properly discontinuous actions versus uniform embeddings ⋮ Open problems on graphs arising from geometric topology ⋮ The van Kampen obstruction and its relatives ⋮ Clasp-pass moves on knots, links and spatial graphs

Cites Work

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• Obstructions to the imbedding of a complex in a euclidean space. I: The first obstruction
• A one-dimensional Whitney trick and Kuratowski's graph planarity criterion
• Cobordism, homotopy and homology of graphs in \(\mathbb{R}^ 3\)
• Category theoretic representations of knotted graphs in \(S^ 3\)
• Link groups
• The Classification of Links up to Link-Homotopy
• Invariants of Graphs in Three-Space

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