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Spaces within spaces

A great mathematical problem has been solved

By by Ian Stewart  

Two dimensional spaces can be divided into triangles—but what about higher dimensional spaces?

When Ciprian Manolescu was working for his PhD in mathematics, he heard about a famous unsolved problem: the triangulation conjecture. It was too difficult for a doctoral thesis, so he worked on a more tractable problem in the same area, known as topology. For the next 10 years he didn’t think about the triangulation conjecture at all. Until one day he realised that…

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