Let N be a smooth compact, connected and orientable 2-manifold with or without boundary. Given a stable circle-valued function γ: N → S1, we introduced a topological invariant associated to γ, called generalized Reeb graph. ...

We consider the topological classification of finitely determined map germs [f] : (R3, 0) → (R2, 0) with f- 1(0) ≠ { 0 }. The case f- 1(0) = { 0 } was treated in another recent paper by the authors. The main tool used to ...

We consider finitely determined map germs f : (ℝ3, 0) → (ℝ2, 0) with f -1(0) = {0} and we look at the classification of this kind of germ with respect to topological equivalence. By Fukuda's cone structure theorem, the ...

In this work, we investigate the classification of Morse-Bott functions from S-2 to S-1, up to topological conjugacy. We give a complete topological invariant of simple Morse-Bott functions f : S-2 -> S-1. The invariant ...

Creating high-quality quad meshes from triangulated surfaces is a highly nontrivial task that necessitates consideration of various application specific metrics of quality. In our work, we follow the premise that automatic ...

Se estudia a fondo la construcción de las descomposiciones de Heegaard, haciendo énfasis en el por qué es una herramienta central en el estudio de las 3-variedades. Para esto, analizamos las 3-variedades desde las categorías ...