S. Podkorytov

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20062011

most citedAn iterated sum formula for a spheroid's homotopy class modulo 2-torsion

1 citations · 2 across the 4 of their papers we have counts for

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math.AT2011

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…

math.AT2009

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…

math.AT2006★ 1 cited

An iterated sum formula for a spheroid's homotopy class modulo 2-torsion

S. S. Podkorytov

Let $X$ be a simply connected pointed space with finitely generated homotopy groups. Let $Π_{n} (X)$ denote the set of all continuous maps $a : I^{n} \to X$ taking $\partial I^{n}$ to the ba…