$k$-groups and duality

  title={\$k\$-groups and duality},
  author={N. Noble},
  journal={Transactions of the American Mathematical Society},
  • N. Noble
  • Published 1970
  • Mathematics
  • Transactions of the American Mathematical Society
Recall that a function is Ac-continuous if its restriction to each compact subset of its domain is continuous. We call a topological group G a Ac-group if each ¿-continuous homomorphism on G is continuous. As we will see in §1, where elementary properties of Ac-groups are studied, Ac-groups are the appropriate topological group analogue to Ac-spaces. As one would expect, they provide a useful tool for the study of dual groups topologized with the compact-open topology. In §2 we show that the… Expand
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