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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

$S$-transversality
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by L. A. Favaro PDF
Proc. Amer. Math. Soc. 53 (1975), 481-488 Request permission

Abstract:

This paper will extend Thom’s transversality theorem to differentiable mappings between foliated manifolds, and deal with mappings with “nice” nontransversal points.
References
    H. I. Levine, Singularities of differentiable mappings, (Proc. Liverpool Singularities I), Lecture Notes in Math., vol. 192, Springer-Verlag, Berlin and New York, 1971. C. T. C. Wall, Stratified sets: A survey, (Proc. Liverpool Singularities I), Lecture Notes in Math., vol. 192, Springer-Verlag, Berlin and New York, 1971
  • John N. Mather, Stability of $C^{\infty }$ mappings. II. Infinitesimal stability implies stability, Ann. of Math. (2) 89 (1969), 254–291. MR 259953, DOI 10.2307/1970668
    • R. Wells, Introduction to theory of singularities, Lecture Notes, Universidade SĂŁo Paulo, SĂŁo Paulo, 1970.
  • J. M. Boardman, Singularities of differentiable maps, Inst. Hautes Études Sci. Publ. Math. 33 (1967), 21–57. MR 231390, DOI 10.1007/BF02684585
  • Bernard Morin, Formes canoniques des singularitĂ©s d’une application diffĂ©rentiable, C. R. Acad. Sci. Paris 260 (1965), 5662–5665 (French). MR 180982
    • L. R. Dante, Geometria da $r$-transversalidade, Master’s Dissertation, ICMUSP, SĂŁo Carlos, Brazil, 1972. G. F. Loibel, Singularidades das aplicacĂ”es diferenciĂĄveis, Brazilian Math. Sympos., VI, 1967.
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 53 (1975), 481-488
  • MSC: Primary 57D30; Secondary 58C25
  • DOI: https://doi.org/10.1090/S0002-9939-1975-0391119-8
  • MathSciNet review: 0391119