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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive

Funktsional. Anal. i Prilozhen., 2004 Volume 38, Issue 4, Pages 73–78 (Mi faa127)

This article is cited in 4 papers

A Complete System of Linear Relations between the Euler Characteristics of Manifolds of Corank $1$ Singularities of a Generic Front

V. D. Sedykh

Gubkin Russian State University of Oil and Gas

Abstract: A compact stable front with corank $1$ singularities is considered. The topological Euler characteristic of each odd-dimensional manifold of singularities of such a front is a universal linear combination of the Euler characteristics of even-dimensional singularity manifolds of higher codimensions. We prove that there are no other universal linear relations between the Euler characteristics of manifolds of singularities of such fronts.

Keywords: stable front, corank $1$ singularity, Euler characteristic.

UDC: 515.16

Received: 04.04.2003

DOI: 10.4213/faa127


 English version:
Functional Analysis and Its Applications, 2004, 38:4, 298–301

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