The boundary of a Busemann space

Hotchkiss, Philip

doi:10.1090/S0002-9939-97-04166-X

The boundary of a Busemann space
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by Philip K. Hotchkiss PDF

Proc. Amer. Math. Soc. 125 (1997), 1903-1912 Request permission

Abstract:

Let $X$ be a proper Busemann space. Then there is a well defined boundary, $\partial X$, for $X$. Moreover, if $X$ is (Gromov) hyperbolic (resp. non-positively curved), then this boundary is homeomorphic to the hyperbolic (resp. non-positively curved) boundary.

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