The free topological group on a simply connected space
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- by J. P. L. Hardy and Sidney A. Morris PDF
- Proc. Amer. Math. Soc. 55 (1976), 155-159 Request permission
Abstract:
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 product of $G$ and $H$.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 55 (1976), 155-159
- MSC: Primary 57F20; Secondary 22A05
- DOI: https://doi.org/10.1090/S0002-9939-1976-0424993-8
- MathSciNet review: 0424993