S. Podkorytov

activity

20062026

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

1 citations · 4 across the 11 of their papers we have counts for

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10 papers · 1 filter

math.AT2026

Homotopy similarity of maps. Compositions

S. S. Podkorytov

We describe the behaviour of the homotopy similarity relations and finite-order invariants under the function $[X, Y] \to [X, Z]$ induced by a map $Y \to Z$ strongly $r$ -similar to the…

math.AT2025

Homotopy similarity of maps. Strong similarity

S. S. Podkorytov

Given pointed cellular spaces $X$ and $Y$ , $X$ compact, and an integer $r \geq 0$ , we define a relation $\approx r$ on $[X, Y]$ and argue for the conjecture that it always coin…

math.AT2024

Homotopy similarity of maps. Maps of the circle

S. S. Podkorytov

We describe the relation of $r$ -similarity and finite-order invariants on the homotopy set $[S^{1}, Y] = π_{1} (Y)$ .

math.AT2023

Homotopy similarity of maps

S. S. Podkorytov

Given based cellular spaces X and Y, X compact, we define a sequence of increasingly fine equivalences on the based-homotopy set [X,Y].

math.AT2014★ 1 cited

Straight homotopy invariants

S. S. Podkorytov

Let $X$ and $Y$ be spaces and $M$ be an abelian group. A homotopy invariant $f : [X, Y] \to M$ is called straight if there exists a homomorphism $F : L (X, Y) \to M$ such that $…

math.AT2013

Steenrod operations and the diagonal morphism

S. S. Podkorytov

We show how to find the Steenrod operations in H^*(X) (the coefficients in F_p) given the diagonal morphism d_#:S_*(X)->S_*(X^p) and the action of the cyclic group C_p on S_*(X^p).…