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Continuity of homomorphisms on a Baire group

Authors: Isidore Fleischer and Tim Traynor
Journal: Proc. Amer. Math. Soc. 93 (1985), 367-368
MSC: Primary 22A10
MathSciNet review: 770556
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Abstract: A pointwise converging sequence of continuous homomorphisms is equicontinuous.

References [Enhancements On Off] (What's this?)

  • [1] S. Banach, Über metrische Gruppen, Studia Math. 3 (1931), 101-113.
  • [2] N. Bourbaki, General topology, Hermann, Paris, and Addison-Wesley, Reading, Mass., 1966.
  • [3] I. Fleischer and T. Traynor, Equicontinuity and uniform boundedness for homomorphisms and measures, Windsor Math. Report #83-16.
  • [4] J. L. Kelly and I. Namioka, Linear topological spaces, Van Nostrand, Princeton, N. J., 1963. MR 0166578 (29:3851)
  • [5] B. J. Pettis, On continuity and openness of homomorphisms in topological groups, Ann. of Math. (2) 52 (1950), 293-308. MR 0038358 (12:391d)

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Keywords: Equicontinuity, Baire, topological group
Article copyright: © Copyright 1985 American Mathematical Society

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