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arXiv 1209.6557math.MG
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粗糙CAT(0)空间的无穷远边界

The Boundary at Infinity of a rough CAT(0) space

Stephen M. Buckley, Kurt Falk

摘要:

我们发展了粗糙CAT(0)空间的边界理论,这类空间包含Gromov双曲和CAT(0)空间。所得理论推广了Gromov双曲空间的Gromov边界和完备CAT(0)空间的理想边界的共同特征.它不假定空间是测地线或适当的。

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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