1 citations · 2 across the 4 of their papers we have counts for
4 papers
On homology of map spaces
Semen Podkorytov
Following an idea of Bendersky-Gitler, we construct an isomorphism between Anderson's and Arone's complexes modelling the chain complex of a map space. This allows us to apply Ship…
Commutative algebras and representations of the category of finite sets
S. S. Podkorytov
We prove that two finite-dimensional commutative algebras over an algebraically closed field are isomorphic if and only if they give rise to isomorphic representations of the categ…
Order of a homotopy invariant in the stable case
S. S. Podkorytov
Let X and Y be CW-complexes, U be an abelian group, and f:[X,Y]->U be a map (a homotopy invariant). We say that f has order at most r if the characteristic function of the r'th Car…
An iterated sum formula for a spheroid's homotopy class modulo 2-torsion
S. S. Podkorytov
Let be a simply connected pointed space with finitely generated homotopy groups. Let denote the set of all continuous maps taking to the ba…