Combinatorics of multiboundary singularities B_n^l and Bernoulli-Euler numbers

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dc.creatorKarpenkov, Oleg
dc.date2006-04-03
dc.date.accessioned2026-07-07T07:10:25Z
dc.date.available2026-07-07T07:10:25Z
dc.descriptionConsider 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.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0604024
dc.identifierhttp://arxiv.org/abs/math/0604024
dc.identifierFunct. Anal. Appl. 36(2002), no 1, 78-81
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111416
dc.subjectAlgebraic Geometry
dc.subjectCombinatorics
dc.subject58K60; 14B05
dc.titleCombinatorics of multiboundary singularities B_n^l and Bernoulli-Euler numbers
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