Homotopy theory provides a framework for classifying spaces up to continuous deformations, and its application to gauge groups has been instrumental in advancing our understanding of the topological ...

We prove existence theorems representing homotopy classes by p-harmonic maps of least p-energy, and representing nthhomotopy classes by n-harmonic maps, generalizing theorems of Cartan and ...

In this paper, we investigate some applications of commutator subgroups to homotopy groups and geometric groups. In particular, we show that the intersection subgroups of some canonical subgroups in ...