Topological rigidity of higher graph manifolds. (English) Zbl 1371.53040
The Borel conjecture considered in this paper states that a homotopy equivalence between two compact aspherical manifolds is homotopic to a homeomorphism. The authors prove the Borel conjecture for a family of aspherical manifolds that includes generalized graph manifolds of R. Frigerio, J.-F. Lafont and A. Sisto [“Rigidity of high dimensional graph manifolds”, Preprint, arXiv:1107.2019], cusp-decomposable manifolds studied by T. T. N. Phan [Comment. Math. Helv. 87, No. 4, 789–804 (2012; Zbl 1269.53042)] and higher graph manifolds studied by C. Connel and P. Suárez-Serrato [“On higher graph manifolds”, Preprint, arXiv:1208.4876].
Reviewer: Enrico Jabara (Venezia)
Citations:
Zbl 1269.53042References:
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