It also doesn’t have a boundary

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Valentin replica A closed surface is one that does not allow points to go off to infinity (technical term: compact) and has no boundary. So for instance all of three space is a nice simply connected 3 dimensional manifold, but it is not closed because points can run off to infinity. It also doesn’t have a boundary. How could something without a boundary keep points from moving to infinity? Well, consider the 2 sphere, torus, or 3 sphere. No points in these spaces can shoot to infinity http://rogersfarmsupply.com/2013/04/06/the-video-showed-tudor-grange-academy-students-flinging-their/, but yet they don’t have a boundary (a boundary point is a point where the surface abruptly stops). Closed manifolds somehow have to fold back on themselves. Valentin replica

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