Stable Homotopy Groups of Moore Spaces

TL;DR

This paper explicitly computes the stable homotopy groups of Moore spaces up to a certain range using category equivalences and algebraic methods.

Contribution

It provides a detailed calculation of stable homotopy groups for Moore spaces up to range 7, employing a novel categorical approach.

Findings

Explicit stable homotopy groups of Moore spaces up to range 7

Use of category equivalence to simplify computations

Method applicable to similar algebraic topological problems

Abstract

We determine explicitly the stable homotopy groups of Moore spaces up to the range 7, using an equivalence of categories which allows to consider each Moore space as an exact couple of $\mathbb Z$-modules.