The connected components of the space of Alexandrov surfaces
classification
🧮 math.MG
math.DG
keywords
kappaalexandrovcomponentsconnectedmathcalsurfacesbelowboundary
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Denote by $\mathcal{A}(\kappa)$ the set of all compact Alexandrov surfaces with curvature bounded below by $\kappa$ 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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