Geodesic
A Complete System of Linear Relations between the Euler Characteristics of Manifolds of Corank $1$ Singularities of a Generic Front
Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 4, pp. 73-78

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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.
Mots-clés : stable front
Keywords: corank $1$ singularity, Euler characteristic. 
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     author = {V. D. Sedykh},
     title = {A {Complete} {System} of {Linear} {Relations} between the {Euler} {Characteristics} of {Manifolds} of {Corank} $1$ {Singularities} of a {Generic} {Front}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {73--78},
     publisher = {mathdoc},
     volume = {38},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a6/}
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V. D. Sedykh. A Complete System of Linear Relations between the Euler Characteristics of Manifolds of Corank $1$ Singularities of a Generic Front. Funkcionalʹnyj analiz i ego priloženiâ, Tome 38 (2004) no. 4, pp. 73-78. http://geodesic.mathdoc.fr/item/FAA_2004_38_4_a6/