The connected components of the space of Alexandrov surfaces

Joël Rouyer; Costin Vîlcu

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arXiv · 1310.8491

The connected components of the space of Alexandrov surfaces

Joël Rouyer·Costin Vîlcu

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Abstract

Denote by $\mathcal{A}(κ)$ the set of all compact Alexandrov surfaces with curvature bounded below by $κ$ without boundary, endowed with the topology induced by the Gromov-Hausdorff metric. We determine the connected components of $\mathcal{A}(κ)$ and of its closure.

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BibTeX RIS

Joël Rouyer, Costin Vîlcu. 2013-10-31. The connected components of the space of Alexandrov surfaces. https://arxiv.org/abs/1310.8491

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