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A small polyhedral \(\mathbb{Z}\)-acyclic 2-complex in \(\mathbb{R}^4\). (English) Zbl 1185.52014

Summary: We present a 4-dimensional polyhedral realization of a 2-dimensional \(\mathbb{Z}\)-acyclic but non-contractible simplicial complex with 23 vertices.

MSC:

52B99 Polytopes and polyhedra
57Q15 Triangulating manifolds
51M20 Polyhedra and polytopes; regular figures, division of spaces