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This article is cited in 2 scientific papers (total in 2 papers)
On the topology of stable corank 1 singularities on the boundary of a connected component of the complement to a front
V. D. Sedykh Gubkin Russian State University of Oil and Gas
Abstract:
Constraints on the position of singularities on the boundary of a connected component of the complement to a wave front are studied.
The boundary of the component is assumed to be the compact boundary of a manifold, and the front is assumed to have only stable corank 1 singularities at points
of the boundary. Under these assumptions linear relations are found
between the Euler numbers of the manifolds of singularities
on the boundary of a fixed component. In particular, all universal
linear relations between the Euler numbers of
the manifolds of singularities
on the boundaries of elliptic and hyperbolic connected
components of the complement to a front are found.
Received: 07.04.2003 and 25.02.2004
Citation:
V. D. Sedykh, “On the topology of stable corank 1 singularities on the boundary of a connected component of the complement to a front”, Mat. Sb., 195:8 (2004), 91–130; Sb. Math., 195:8 (2004), 1165–1203
Linking options:
https://www.mathnet.ru/eng/sm840https://doi.org/10.1070/SM2004v195n08ABEH000840 https://www.mathnet.ru/eng/sm/v195/i8/p91
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Abstract page: | 444 | Russian version PDF: | 212 | English version PDF: | 12 | References: | 75 | First page: | 2 |
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