D. Repovš

  1. One-relator groups and proper 3-realizability.

    Authors: M. Cárdenas, F.F. Lasheras, A. Quintero, D. Repovš
    Subjects: Geometric Topology
    Abstract

    How different is the universal cover of a given finite 2-complex from a
    3-manifold (from the proper homotopy viewpoint)? Regarding this question, we
    recall that a finitely presented group $G$ is said to be properly 3-realizable
    if there exists a compact 2-polyhedron $K$ with $\pi_1(K) \cong G$ whose
    universal cover $\tilde{K}$ has the proper homotopy type of a PL 3-manifold
    (with boundary).

  2. One-relator groups and proper 3-realizability.

    Authors: M. Cárdenas, F.F. Lasheras, A. Quintero, D. Repovš
    Subjects: Geometric Topology
    Abstract

    How different is the universal cover of a given finite 2-complex from a
    3-manifold (from the proper homotopy viewpoint)? Regarding this question, we
    recall that a finitely presented group $G$ is said to be properly 3-realizable
    if there exists a compact 2-polyhedron $K$ with $\pi_1(K) \cong G$ whose
    universal cover $\tilde{K}$ has the proper homotopy type of a PL 3-manifold
    (with boundary).

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