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On Decompositions of Compact Convex Sets

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Abstract

The present paper generalizes M. Edelstein's theorem on the indecomposability of compact convex sets in locally convex linear topological spaces to spherical and hyperbolic geometry. Moreover, the indecomposability of compact intervals in EU1 w.r.t. homeomorphisms of EU1 onto itself is shown.

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Richter, C. On Decompositions of Compact Convex Sets. Geometriae Dedicata 71, 1–4 (1998). https://doi.org/10.1023/A:1005047027843

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  • DOI: https://doi.org/10.1023/A:1005047027843

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