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Dissipative-asymptotic manifolds. (Russian) Zbl 0636.58003

Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat. 31, 3-92 (1987).
Asymptotic analogues of the basic notions of differential geometry are considered for which the ring of dissipative-asymptotic functions takes the part of the ring of smooth functions. Means of asymptotic changes of variables and asymptotic compositions have been developed. (7 references).

MSC:

58A05 Differentiable manifolds, foundations
53B99 Local differential geometry