Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya"
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Itogi Nauki i Tekhniki. Seriya "Sovremennye Problemy Matematiki. Noveishie Dostizheniya", 1987, Volume 31, Pages 3–92 (Mi intd99)  
Dissipative-asymptotic manifolds

G. A. Voropaeva, V. L. Dubnov, V. P. Maslov
Full-text PDF (4288 kB) English version article
Abstract: Asymptotic analogs are considered for the fundamental concepts of differential geometry, with the role of the ring of smooth functions being played by the ring of dissipative-asymptotic functions. Among the tools developed are asymptotic changes of variables and asymptotic compositions.
English version:
Journal of Soviet Mathematics, 1989, Volume 46, Issue 3, Pages 1843–1906
DOI: https://doi.org/10.1007/BF01094998
Bibliographic databases:
UDC: 517.957+514.154
Language: Russian
Citation: G. A. Voropaeva, V. L. Dubnov, V. P. Maslov, “Dissipative-asymptotic manifolds”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 31, VINITI, Moscow, 1987, 3–92; J. Soviet Math., 46:3 (1989), 1843–1906
Citation in format AMSBIB
\Bibitem{VorDubMas87}
\by G.~A.~Voropaeva, V.~L.~Dubnov, V.~P.~Maslov
\paper Dissipative-asymptotic manifolds
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh.
\yr 1987
\vol 31
\pages 3--92
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/intd99}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=915766}
\zmath{https://zbmath.org/?q=an:0678.58001|0636.58003}
\transl
\jour J. Soviet Math.
\yr 1989
\vol 46
\issue 3
\pages 1843--1906
\crossref{https://doi.org/10.1007/BF01094998}
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