Abstract
Denote by \(\mathcal{A}(\kappa )\) 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 \(\mathcal{A}(\kappa )\) and of its closure.
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Acknowledgements
The authors were supported by the grant PN-II-ID-PCE-2011-3-0533 from the Romanian National Authority for Scientific Research, CNCS-UEFISCDI.
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Rouyer, J., Vîlcu, C. (2014). The Connected Components of the Space of Alexandrov Surfaces. In: Ibadula, D., Veys, W. (eds) Bridging Algebra, Geometry, and Topology. Springer Proceedings in Mathematics & Statistics, vol 96. Springer, Cham. https://doi.org/10.1007/978-3-319-09186-0_15
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DOI: https://doi.org/10.1007/978-3-319-09186-0_15
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