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A three-manifold is a space that locally looks like Euclidean three-dimensional space

26 votes
6 answers
3k views

How to get convinced that there are a lot of 3-manifolds?

My question is rather philosophical : without using advanced tools as Perlman-Thurston's geometrisation, how can we get convinced that the class of closed oriented $3$-manifolds is large and that simp …
Selim G's user avatar
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