Continuity of homomorphisms on a Baire group
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- by Isidore Fleischer and Tim Traynor PDF
- Proc. Amer. Math. Soc. 93 (1985), 367-368 Request permission
Abstract:
A pointwise converging sequence of continuous homomorphisms is equicontinuous.References
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S. Banach, Über metrische Gruppen, Studia Math. 3 (1931), 101-113.
N. Bourbaki, General topology, Hermann, Paris, and Addison-Wesley, Reading, Mass., 1966.
I. Fleischer and T. Traynor, Equicontinuity and uniform boundedness for homomorphisms and measures, Windsor Math. Report #83-16.
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- B. J. Pettis, On continuity and openness of homomorphisms in topological groups, Ann. of Math. (2) 52 (1950), 293–308. MR 38358, DOI 10.2307/1969471
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 367-368
- MSC: Primary 22A10
- DOI: https://doi.org/10.1090/S0002-9939-1985-0770556-X
- MathSciNet review: 770556