Reflexivity of topological groups
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- by Peter Nickolas
- Proc. Amer. Math. Soc. 65 (1977), 137-141
- DOI: https://doi.org/10.1090/S0002-9939-1977-0486276-0
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Abstract:
It is shown that under mild conditions the path-component of the identity in the dual group $G\hat \emptyset$ of an Abelian topological group G is precisely the union of the one-parameter subgroups of $G\hat \emptyset$. This yields several corollaries, including a necessary condition for certain groups to be reflexive (to satisfy the Pontrjagin duality theorem), and a negative answer to a question of N. Noble.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 137-141
- MSC: Primary 22A05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0486276-0
- MathSciNet review: 0486276