Chord diagrams in the classification of Morse-Smale flows on 2-manifolds
Leonid Plachta (1998)
Banach Center Publications
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Leonid Plachta (1998)
Banach Center Publications
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Rickman, Seppo (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Akbulut, Selman (1999)
Annals of Mathematics. Second Series
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Véronique Gautheron, Emmanuel Isambert (1994)
Collectanea Mathematica
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V. Poénaru, C. Tanasi (2001)
Rendiconti del Seminario Matematico della Università di Padova
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Akbulut, Selman (2002)
Geometry & Topology
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Shaun Bullett, Andrew Curtis (2012)
Annales de la faculté des sciences de Toulouse Mathématiques
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We investigate an explicit holomorphic correspondence on the Riemann sphere with striking dynamical behaviour: the limit set is a fractal resembling the one-skeleton of a tetrahedron and on each component of the complement of this set the correspondence behaves like a Fuchsian group.
Robert Brown (1999)
Banach Center Publications
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Osamu Saeki (1995)
Annales de l'institut Fourier
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It is known that the singular set of a generic smooth map of an -dimensional manifold into a surface is a closed 1-dimensional submanifold of and that it has a natural stratification induced by the absolute index. In this paper, we give a complete characterization of those 1-dimensional (stratified) submanifolds which arise as the singular set of a generic map in terms of the homology class they represent.