Classification of weak continuities and decomposition of continuity

@article{Tong2004ClassificationOW,
  title={Classification of weak continuities and decomposition of continuity},
  author={Jing Cheng Tong},
  journal={Int. J. Math. Mathematical Sciences},
  year={2004},
  volume={2004},
  pages={2755-2760}
}
We first introduce 20 weak forms of continuity, which are closely related to 5 known weak forms of continuity. Then we classify them into 9 groups and give 12 decompositions of continuity. 1. Introduction. Continuity is one of the most important concepts in mathematics. In order to find deep properties of continuity, many weak forms of continuity were introduced in the literature. For instance, we have Levine's weak continuity [2] and semicontinuity [3], M. K. Singal and A. R. Singal's almost… CONTINUE READING

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Referenced Papers

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Showing 1-5 of 5 references

Almost continuous mappings

  • T. Husain
  • Prace Mat. 10
  • 1966
Highly Influential
6 Excerpts

α-continuous and α-open mappings

  • A. S. Mashhour, I. A. Hasanein, S. N. El-Deeb
  • Acta Math. Hungar. 41
  • 1983
Highly Influential
3 Excerpts

Almost-continuous mappings

  • M. K. Singal, A. R. Singal
  • Yokohama Math. J. 16
  • 1968
2 Excerpts

On some classes of nearly open sets

  • O. Njȧstad
  • Pacific J. Math. 15
  • 1965

A decomposition of continuity in topological spaces

  • N. Levine
  • Amer. Math. Monthly 68
  • 1961
2 Excerpts

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