Voropaeva, G. A.; Dubnov, V. L.; Maslov, V. P. 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). Cited in 1 Review MSC: 58A05 Differentiable manifolds, foundations 53B99 Local differential geometry Keywords:dissipative-asymptotic functions; asymptotic changes of variables; asymptotic compositions PDFBibTeX XML