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The Banach-Tarski paradox for the hyperbolic plane (II)

Jan Mycielski, Grzegorz Tomkowicz (2013)

Fundamenta Mathematicae

The second author found a gap in the proof of the main theorem in [J. Mycielski, Fund. Math. 132 (1989), 143-149]. Here we fill that gap and add some remarks about the geometry of the hyperbolic plane ℍ².

The Boundary at Infinity of a Rough CAT(0) Space

S.M. Buckley, K. Falk (2014)

Analysis and Geometry in Metric Spaces

We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete CAT(0) space. It is not assumed that the spaces are geodesic or proper

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