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