Mathematics – Algebraic Geometry
Scientific paper
2006-04-03
Funct. Anal. Appl. 36(2002), no 1, 78-81
Mathematics
Algebraic Geometry
4 pages, 1 figure
Scientific paper
Consider generalizations of the boundary singularities B_n of the functions on the real line to the case where the boundary consists of a finite number of l points. These singularities B_n^l could also arise in higher dimensional case, when the boundary is an immersed hypersurface. We obtain a particular recurrent equation on the numbers of connected components of very nice M-morsification spaces of the multiboundary singularities B_n^l. This helps us to express the numbers K_n^l (for l=2,3,4...) by Bernoulli-Euler numbers. We also find the corresponding generating functions.
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