Abstract
This paper gives a generalization of smoothing theorems for finitedifferentiable manifolds. Every finite-differentiable space, i.e. manifold with arbitrary singularities, can be smoothed to an infinitedifferentiable space having the same embedding dimension at each point. So our theorem improves a result of Spallek [6] on smoothings in a way which one needs for various types of applications (see for examole [2]). Finally a counterexample is given that in contrast to manifolds smoothings even for nice spaces are in general not unique.
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Teufel, M. Glättung endlich-differenzierbarer Räume. Manuscripta Math 33, 37–49 (1980). https://doi.org/10.1007/BF01298336
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DOI: https://doi.org/10.1007/BF01298336