We prove that for any topological space which is metric, compact (hence separable) path connected and locally path connected, its homotopy group is not the additive group of the rational, moreover if ...

Type theory and homotopy theory have evolved into profoundly interconnected disciplines. Type theory, with its foundations in logic and computer science, provides a formal language for constructing ...

K-Theory and homotopy theory constitute pivotal branches of modern mathematics, forming a bridge between algebraic invariants and topological structures. This intersection has fostered the development ...

This is a preview. Log in through your library . Abstract A cylinder-web diagram with associated diagonal sequences is described in stable homotopy pair theory. The diagram may be used to compute ...