Timeline for How to get convinced that there are a lot of 3-manifolds?
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| Oct 9, 2015 at 8:18 | comment | added | Selim G | To me it is not obvious that I build this way a lot of different manifolds. I glue faces of a polyhedron and then get by Poincaré's theorem a presentation of the fundamental group of my manifold. But how can I quickly deduces that, for instance, this method builds infinitely many different manifolds ? Even if so, are these differentiated by their first Betti number ? Building this way only one homology sphere is (a little bit) painful and requires non-obvious computation on the fundamental group of the resulting manifold. | |
| Oct 6, 2015 at 19:19 | history | answered | Louis Deaett | CC BY-SA 3.0 |