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).


58A05 Differentiable manifolds, foundations
53B99 Local differential geometry