In Lee's Intro to topological manifolds, p.105, it is written that every manifold of dimension 3 or below is triangulable. But in dimension 4, threre are known examples of non triangulable manifolds. In dimensions greater than four, the answer is unknown.(adsbygoogle = window.adsbygoogle || []).push({});

But in Bott-Tu p.190, it is written that every manifold admits a triangulation.

Which is right?

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# Is every manifold triangulable?

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