Embedding simply connected 2-complexes in 3-space -- II. Rotation systems

Johannes Carmesin

Embedding simply connected 2-complexes in 3-space -- II. Rotation systems

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arxiv 1709.04643 v3 pith:DH3KBEVF submitted 2017-09-14 math.CO math.GT

Johannes Carmesin This is my paper · ORCID

classification math.COmath.GT

keywords complexesconnectedembeddingssimplyspacecompatibledimensionaledges

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We prove that 2-dimensional simplicial complexes whose first homology group is trivial have topological embeddings in 3-space if and only if there are embeddings of their link graphs in the plane that are compatible at the edges and they are simply connected.

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