33 citations · 66 across the 30 of their papers we have counts for
4 papers · 1 filter
Spaces of morphisms from a projective space to a toric variety
Jacob Mostovoy, Erendira Munguia-Villanueva
In this paper we study the space of morphisms from a complex projective space to a compact smooth toric variety X. It is shown that the first author's stability theorem for the spa…
The space of non-degenerate closed curves in a Riemannian manifold
Jacob Mostovoy, Rustam Sadykov
Let LM be the semigroup of non-degenerate based loops with a fixed initial/final frame in a Riemannian manifold M of dimension at least three. We compare the topology of LM to that…
Approximations of periodic functions to R^n by curvatures of closed curves
Jacob Mostovoy, Rustam Sadykov
We show that for any n real periodic functions f_1,..., f_n with the same period, such that f_i>0 for i<n, and a real number e >0, there is a closed curve in R^{n+1} with curvature…
On the connectivity of finite subset spaces
Jacob Mostovoy, Rustam Sadykov
We show that for an m-connected cell complex X the space exp_k X of non-empty subsets of X of cardinality at most k is (m + k - 2)-connected