On the Gromov-Hausdorff limits of compact surfaces with boundary

被引：0
|
作者：
Dott, Tobias [1 ]
机构：
[1] Karlsruhe Inst Technol, Inst Algebra & Geometry, D-76131 Karlsruhe, Germany
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2024年 / 66卷 / 03期
关键词：
Gromov-Hausdorff limit; Surface; Length space; Generalized cactoid; Peano space; Continuum; SPACES;
D O I：
10.1007/s10455-024-09973-w
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this work we investigate Gromov-Hausdorff limits of compact surfaces carrying length metrics. More precisely, we consider the case where all surfaces have the same Euler characteristic. We give a complete description of the limit spaces and study their topological properties. Our investigation builds on the results of a previous work which treats the case of closed surfaces.
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页数：24
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