33 citations · 66 across the 30 of their papers we have counts for
6 papers · 1 filter
Finite subset spaces of spheres
Jacob Mostovoy
We find the complete rational homology for the finite subset spaces of a -dimensional sphere. We also determine the integral homology in top degrees and obtain a partial des…
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…
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
Partial monoids and Dold-Thom functors
Jacob Mostovoy
Dold-Thom functors are generalizations of infinite symmetric products, where integer multiplicities of points are replaced by composable elements of a partial abelian monoid. It is…
Spaces of rational maps and the Stone-Weierstrass Theorem
Jacob Mostovoy
It is shown that Segal's theorem on the spaces of rational maps from CP^1 to CP^n can be extended to the spaces of continuous rational maps from CP^m to CP^n for any m less than or…
Spaces of Rational Loops on a Real Projective Space
Jacob Mostovoy
We show that the loop spaces of real projective spaces are topologically approximated by the spaces of rational maps from RP(1) to RP(n). As a byproduct of our constructions we obt…