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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. Kelley and Isaac Namioka, Linear topological spaces, With the collaboration of W. F. Donoghue, Jr., Kenneth R. Lucas, B. J. Pettis, Ebbe Thue Poulsen, G. Baley Price, Wendy Robertson, W. R. Scott, Kennan T. Smith. The University Series in Higher Mathematics, D. Van Nostrand Co., Inc., Princeton, N.J., 1963. MR 0166578
  • [5] B. J. Pettis, On continuity and openness of homomorphisms in topological groups, Ann. of Math. (2) 52 (1950), 293–308. MR 0038358,

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

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