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 Tr. Mat. Inst. Steklova, 2007, Volume 258, Pages 201–226 (Mi tm484)

On the Coexistence of Corank 1 Multisingularities of a Stable Smooth Mapping of Equidimensional Manifolds

V. D. Sedykh

Gubkin Russian State University of Oil and Gas

Abstract: We study the topology of stable smooth mappings of smooth closed real manifolds of the same dimension. We calculate all universal linear relations between the Euler characteristics of the manifolds of multisingularities of mappings that have only corank 1 singularities.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2007, 258, 194–217

Bibliographic databases:

UDC: 515.16

Citation: V. D. Sedykh, “On the Coexistence of Corank 1 Multisingularities of a Stable Smooth Mapping of Equidimensional Manifolds”, Analysis and singularities. Part 1, Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday, Tr. Mat. Inst. Steklova, 258, Nauka, MAIK «Nauka/Inteperiodika», M., 2007, 201–226; Proc. Steklov Inst. Math., 258 (2007), 194–217

Citation in format AMSBIB
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\by V.~D.~Sedykh
\paper On the Coexistence of Corank~1 Multisingularities of a~Stable Smooth Mapping of Equidimensional Manifolds
\inbook Analysis and singularities. Part~1
\bookinfo Collected papers. Dedicated to academician Vladimir Igorevich Arnold on the occasion of his 70th birthday
\serial Tr. Mat. Inst. Steklova
\yr 2007
\vol 258
\pages 201--226
\publ Nauka, MAIK «Nauka/Inteperiodika»
\mathnet{http://mi.mathnet.ru/tm484}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2400531}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2007
\vol 258
\pages 194--217
\crossref{https://doi.org/10.1134/S0081543807030145}
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. V. D. Sedykh, “On the topology of stable Lagrangian maps with singularities of types $A$ and $D$”, Izv. Math., 79:3 (2015), 581–622
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