Transformation groups of automorphisms of 𝐶(𝑋,𝐺)

Yang, J. S.

doi:10.1090/S0002-9939-1973-0317308-4

Transformation groups of automorphisms of $C(X, G)$
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Proc. Amer. Math. Soc. 39 (1973), 619-624 Request permission

Erratum: Proc. Amer. Math. Soc. 48 (1975), 517.

Abstract:

If $(X,T,\pi )$ is a transformation group with locally compact phase group $T$, there is a standard way to induce a transformation group on $C(X,Y)$ endowed with the compact-open topology, where $Y$ is a uniform space. In this paper, we consider the case where $Y$ is a topological group $G$. The reverse construction under certain conditions is also considered.

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On topological groups and homotopy groups