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Obstructions to the smoothing of piecewise-differentiable homeomorphisms

Obstructions to the smoothing of piecewise-differentiable homeomorphisms

Since the publication in 1956 of John Milnor's fundamental paper [l ] in which he constructs differentiable structures on S7 nondiffeomorphic to the standard one, several further results concerning differ­ entiable structures have been obtained by Milnor, R. Thorn, and others. This paper unifies and extends some of these results …