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arxiv: math/0105047 · v2 · pith:4VOVDLU5new · submitted 2001-05-07 · 🧮 math.AT · math.GT

Piecewise linear structures on topological manifolds

classification 🧮 math.AT math.GT
keywords manifoldsstructurestopologicalclassificationequivalenceexposehauptvermutunghomotopy
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This is a survey paper where we expose the Kirby--Siebenmann results on classification of PL structures on topological manifolds and, in particular, the homotopy equivalence TOP/PL=K(Z/2.3) and the Hauptvermutung for manifolds.

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