Gromov-Hausdorff limits of closed surfaces

Abstract

We completely describe the Gromov-Hausdorff closure of the class of length spaces being homeomorphic to a fixed closed surface.

Keywords

• gromov-hausdorff convergence
• length spaces
• surfaces
• generalized cactoids
• peano spaces
• anr
• primary 51f99
• secondary 53c20
• 54f15