J. S. Yang, "On certain groups of functions", International Journal of Mathematics and Mathematical Sciences, vol. 3, Article ID 713749, 14 pages, 1980. https://doi.org/10.1155/S0161171280000373
On certain groups of functions
Let denote the group of continuous functions from a topological space into a topological group with the pointwise multiplication and the compact-open topology. We show that there is a natural topology on the collection of normal subgroups of of the which is analogous to the hull-kernel topology on the commutative Banach algegra of all continuous real or complex-valued functions on . We also investigate homomorphisms between groups and .
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