Homotopy theory and K‐theory are intertwined fields that have significantly advanced our understanding of topological spaces, algebraic structures and their interrelations. Homotopy theory studies ...

Lie groups epitomise the fusion of algebraic structure with the smooth manifold framework, serving as a cornerstone in both mathematics and theoretical physics. These continuous symmetry groups ...

Given a collection {πn:n = 1, 2, ⋯} of countable groups such that πi is abelian and admits π1 as a group of operators for i ≥ 2, we construct here an arcwise connected compact metric space of trivial ...