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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Transformation groups of automorphisms of $ C(X,\,G)$


Author: J. S. Yang
Journal: Proc. Amer. Math. Soc. 39 (1973), 619-624
MSC: Primary 54H15
Erratum: Proc. Amer. Math. Soc. 48 (1975), 517.
MathSciNet review: 0317308
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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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DOI: https://doi.org/10.1090/S0002-9939-1973-0317308-4
Keywords: Topological group, transformation group, isomorphism, periodic, recursive, minimal
Article copyright: © Copyright 1973 American Mathematical Society