Can we completely classify the simply-connected surfaces (with or without boundary) in $\mathbb R^3$ up to homeomorphism?
The classification of surfaces
2
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general-topology
surfaces
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0Relevant (and almost a duplicate): http://math.stackexchange.com/questions/5588/classification-theorem-for-non-compact-2-manifolds-2-manifolds-with-boundary – 2011-11-26