The size of quasicontinuous maps on Khalimsky line

Document Type : Original Article

Authors

Faculty of Mathematics, Statistics and Computer Science, College of Science, University of Tehran, Tehran, Iran

Abstract

In the following text we show if D is Khalimsky line (resp. Khalimsky plane, Khalimsky circle, Khalimsky sphere), then for topological space X we show the collection of all quasicontinuous maps from D to X has cardinality card(X)ℵ.

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References

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    and its Applications, 246(2018), 137–143.
  • 3. L. A. Steen and J. A. Seebach, Counterexamples in topology, Holt, Rinehart and Winston,
    Inc., New York, 1970.
Journal of Finsler Geometry and its Applications
Volume 4, Issue 2
December 2023
Pages 38-42

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