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Some Remarks on a Paper of Wong

Published online by Cambridge University Press:  20 November 2018

R. Houston  and
S.K. Kaul
R. Houston
Affiliation:
University of Saskatchewan, Regina
S.K. Kaul
Affiliation:
University of Saskatchewan, Regina
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Extract

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The aim of this note is to point out a mistake in the proof of Theorem 2 of Wong's paper [1], We first give an example to show that the theore as stated is not true.

Example 1. Consider the cartesian plane and the graph H with equation .

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 5 , December 1968 , pp. 747 - 749
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Wong, J.S. W., Some remarks on transformations in a metric space. Canad. Math. Bull. 8 (1965) 659-666.Google Scholar
2. Hu, S. T., Elements of general topology (Holden-Day, 1964).Google Scholar