In the borderline dimension twice the rank, the marked Schottky space is simply connected with dense open part homotopy equivalent to a product of SO groups; a symmetric core deformation-retracts the space in all dimensions and the locus one dimension lower has two components.
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The topology of Schottky spaces in higher dimensions
In the borderline dimension twice the rank, the marked Schottky space is simply connected with dense open part homotopy equivalent to a product of SO groups; a symmetric core deformation-retracts the space in all dimensions and the locus one dimension lower has two components.