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Published in last 50 years
All linear relations with real coefficients between the Euler characteristics of manifolds of singularities of wave fronts are found for all generic compact fronts in all spaces of dimension at most 6.
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.