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- W3105436134 abstract "We investigate the horofunction boundary of the Hilbert geometry defined on an arbitrary finite-dimensional bounded convex domain D. We determine its set of Busemann points, which are those points that are the limits of `almost-geodesics'. In addition, we show that any sequence of points converging to a point in the horofunction boundary also converges in the usual sense to a point in the Euclidean boundary of D. We prove that all horofunctions are Busemann points if and only if the set of extreme sets of the polar of D is closed in the Painleve-Kuratowski topology." @default.
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- W3105436134 date "2008-10-01" @default.
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- W3105436134 title "The horofunction boundary of the Hilbert geometry" @default.
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- W3105436134 doi "https://doi.org/10.1515/advgeom.2008.032" @default.
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