E. Kudryavtseva

activity

20092025

most citedOn the homotopy type of the spaces of Morse functions on surfaces

29 citations · 231 across the 24 of their papers we have counts for

collaborators

Showing 2011 · math.GTShow all

3 papers · 2 filters

math.GT2011★ 18 cited

Special framed Morse functions on surfaces

Elena A. Kudryavtseva

Let $M$ be a smooth closed orientable surface. Let $F$ be the space of Morse functions on $M$ , and $F^{1}$ the space of framed Morse functions, both endowed with $C^{\infty}$ -…

math.GT2011★ 29 cited

On the homotopy type of the spaces of Morse functions on surfaces

Elena Kudryavtseva

Let $M$ be a smooth closed orientable surface. Let $F$ be the space of Morse functions on $M$ having fixed number of critical points of each index, moreover at least $χ (M) + 1$ criti…

math.GT2011★ 20 cited

Topology of the spaces of Morse functions on surfaces

Elena Kudryavtseva

Let $M$ be a smooth closed orientable surface, and let $F$ be the space of Morse functions on $M$ such that at least $χ (M) + 1$ critical points of each function of $F$ are labeled by…