Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces

Cavallucci, Nicola; Sambusetti, Andrea

doi:10.1007/s10711-023-00874-z

Geom Dedicata

2024

DOI: 10.1007/s10711-023-00874-z

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Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces

Nicola Cavallucci,

Andrea Sambusetti

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2024

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Gh-convergence of CAT(0)-spaces: stability of the Euclidean factor

Cavallucci

2024

Math. Ann.

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We prove that if a sequence of geodesically complete CAT(0)-spaces $$X_j$$ X j with uniformly cocompact discrete groups of isometries converges in the Gromov-Hausdorff sense to $$X_\infty $$ X ∞ , then the dimension of the maximal Euclidean factor splitted off by $$X_\infty $$ X ∞ and $$X_j$$ X j is the same, for j big enough. In other words, no additional Euclidean factors can appear in the limit.

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Gh-convergence of CAT(0)-spaces: stability of the Euclidean factor

Cavallucci

2024

Math. Ann.

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Discrete groups of packed, non-positively curved, Gromov hyperbolic metric spaces

Cited by 1 publication

References 31 publications

Gh-convergence of CAT(0)-spaces: stability of the Euclidean factor

Gh-convergence of CAT(0)-spaces: stability of the Euclidean factor

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