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A counterexample concerning almost continuous functions


Authors: Larry L. Herrington, W. N. Hunsaker, W. F. Lindgren and S. A. Naimpally
Journal: Proc. Amer. Math. Soc. 43 (1974), 475
MSC: Primary 54C05
DOI: https://doi.org/10.1090/S0002-9939-1974-0331306-7
MathSciNet review: 0331306
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Abstract: An example is constructed of a function which is almost continuous in the sense of Singal and Singal but not in the sense of Stallings.


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

  • [1] H. Blumberg, New properties of all real functions, Trans. Amer. Math. Soc. 24 (1922), 113-128. MR 1501216
  • [2] P. E. Long and D. A. Carnahan, Comparing almost continuous functions, Proc. Amer. Math. Soc. 38 (1973), 413-418. MR 0310824 (46:9922)
  • [3] L. A. Steen and J. A. Seeback, Jr., Counterexamples in topology, Holt, Rinehart and Winston, New York, 1970. MR 42 #1040. MR 0266131 (42:1040)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0331306-7
Keywords: Almost continuous functions, noncontinuous functions
Article copyright: © Copyright 1974 American Mathematical Society

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