The Free Topological Group on a Simply Connected Space
The Free Topological Group on a Simply Connected Space
It is shown that the free $k$-group on a simply connected locally equiconnected space is simply connected. This result is then used to verify, for a large class of groups, the conjecture of Ordman that ${\pi _1}(G{\ast }H) = {\pi _1}(G) \times {\pi _1}(H)$, where $G{\ast }H$ is the free …