Homotopy similarity of maps

S. S. Podkorytov

St. Petersburg Department of Steklov Institute of Mathematics, Fontanka 27, St. Petersburg 191011, Russia

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

Key words and phrases: $r$-similar maps, homotopy invariant of finite order.

UDC: 515.143

Received: 25.12.2025

Language: English