# The horofunction boundary of the inﬁnite dimensional hyperbolic space

Claassens, Floris (2019) The horofunction boundary of the inﬁnite dimensional hyperbolic space. Geometriae Dedicata, . ISSN 0046-5755. E-ISSN 1572-9168. (doi:10.1007/s10711-019-00498-2)

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https://doi.org/10.1007/s10711-019-00498-2

## Abstract

In this paper we give a complete description of the horofunction boundary of the inﬁnite dimensional real hyperbolic space, and characterise its Busemann points.

Item Type: Article 10.1007/s10711-019-00498-2 Inﬁnite dimensional hyperbolic space, horofunction boundary, Busemann points Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, CalculusQ Science > QA Mathematics (inc Computing science) > QA440 Geometry Faculties > Sciences > School of Mathematics Statistics and Actuarial Science F.C. Claassens 06 Jan 2020 15:27 UTC 07 Jan 2020 14:54 UTC https://kar.kent.ac.uk/id/eprint/79488 (The current URI for this page, for reference purposes) https://orcid.org/0000-0002-1185-3813