Some results concerning the number of critical points of a smooth map.
Aldea, Mihaela (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Aldea, Mihaela (2005)
Acta Universitatis Apulensis. Mathematics - Informatics
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Samuel Omoloye Ajala (2004)
Kragujevac Journal of Mathematics
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Artur Piękosz (1995)
Annales Polonici Mathematici
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We give a topological version of a Bertini type theorem due to Abhyankar. A new definition of a branched covering is given. If the restriction of the natural projection π: Y × Z → Y to a closed set V ⊂ Y × Z is a branched covering then, under certain assumptions, we can obtain generators of the fundamental group π₁((Y×Z).
Michal Fečkan (1993)
Commentationes Mathematicae Universitatis Carolinae
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The existence of multiple solutions for perturbed equations is shown near a manifold of solutions of an unperturbed equation via the Nielsen fixed point theory.
Deborah Olayide A. Ajayi (2010)
Kragujevac Journal of Mathematics
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Jerzy Jezierski (1992)
Fundamenta Mathematicae
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We give an algorithm to compute the coincidence Nielsen number N(f,g), introduced in [DJ], for pairs of maps into real projective spaces.
J. Bryden, P. Zvengrowski (1998)
Banach Center Publications
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This note gives a complete description of the cohomology algebra of any orientable Seifert manifold with ℤ/p coefficients, for an arbitrary prime p. As an application, the existence of a degree one map from an orientable Seifert manifold onto a lens space is completely determined. A second application shows that the Lusternik-Schnirelmann category for a large class of Seifert manifolds is equal to 3, which in turn is used to verify the Ganea conjecture for these Seifert manifolds. ...
Masafumi Yoshino, Todor Gramchev (2008)
Annales de l’institut Fourier
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We study the simultaneous linearizability of –actions (and the corresponding -dimensional Lie algebras) defined by commuting singular vector fields in fixing the origin with nontrivial Jordan blocks in the linear parts. We prove the analytic convergence of the formal linearizing transformations under a certain invariant geometric condition for the spectrum of vector fields generating a Lie algebra. If the condition fails and if we consider the situation where small denominators...