29 citations · 231 across the 24 of their papers we have counts for
8 papers · 1 filter
Topology of spaces of smooth functions and gradient-like flows with prescribed singularities on surfaces
Elena A. Kudryavtseva
By a gradient-like flow on a closed orientable surface , we mean a closed 1-form defined on punctured at a finite set of points (sources and sinks of ) such that ther…
Indecomposable branched coverings over the projective plane by surfaces with
Natalia A. Viana Bedoya, Daciberg Lima Gonçalves, Elena Kudryavtseva
In this work we study the decomposability property of branched coverings of degree odd, over the projective plane, where the covering surface has Euler characteristic .…
Topology of the spaces of functions with prescribed singularities on surfaces
Elena A. Kudryavtseva
Let be a smooth connected orientable closed surface and a function having only critical points of the -types, . Let ${\mathcal F}={\mat…
Special framed Morse functions on surfaces
Elena A. Kudryavtseva
Let be a smooth closed orientable surface. Let be the space of Morse functions on , and the space of framed Morse functions, both endowed with -…
On the homotopy type of the spaces of Morse functions on surfaces
Elena Kudryavtseva
Let be a smooth closed orientable surface. Let be the space of Morse functions on having fixed number of critical points of each index, moreover at least criti…
Topology of the spaces of Morse functions on surfaces
Elena Kudryavtseva
Let be a smooth closed orientable surface, and let be the space of Morse functions on such that at least critical points of each function of are labeled by…