891 research outputs found
Regularity at infinity of real mappings and a Morse-Sard theorem
We prove a new Morse-Sard type theorem for the asymptotic critical values of
semi-algebraic mappings and a new fibration theorem at infinity for
mappings. We show the equivalence of three different types of regularity
conditions which have been used in the literature in order to control the
asymptotic behaviour of mappings. The central role of our picture is played by
the -regularity and its bridge toward the -regularity which implies
topological triviality at infinity
Singularities of affine equidistants: projections and contacts
Using standard methods for studying singularities of projections and of
contacts, we classify the stable singularities of affine -equidistants
of -dimensional closed submanifolds of , for ,
whenever is a pair of nice dimensions.Comment: 18 pages, v2 (minimal changes) agrees with version to appear in
Journal of Singularitie
Liftable vector fields over corank one multigerms
In this paper, a systematic method is given to construct all liftable vector
fields over an analytic multigerm of
corank at most one admitting a one-parameter stable unfolding.Comment: 34 pages. In ver. 2, several careless mistakes for calculations in
Section 6 were correcte
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