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Ps-normal and Ps-Tychonoff spaces

  • Sagarmoy BagEmail author
  • Ram Chandra Manna
  • Sourav Kanti Patra
Article
  • 3 Downloads

Abstract

A space X is called Ps-normal(Ps-Tychonoff) space if there exists a normal(Tychonoff) space Y and a bijection \(f: X\mapsto Y\) such that \(f|_K:K\mapsto f(K)\) is homeomorphism for any pseudocompact subset K of X. We establish a few relations between C-normal, CC-normal, L-normal, C-Tychonoff, CC-Tychonoff spaces with Ps-normal and Ps-Tychonoff spaces.

Keywords

Ps-Tychonoff C–Tychonoff L-Tychonoff Ps-normal C-normal CC-normal 

Mathematics Subject Classification

Primary 54C40 Secondary 46E25 

Notes

Acknowledgements

The authors would like to thank to Professor Sudip Kumar Acharyya and Professor Asit Baran Raha for their valuable suggestions. The authors also wish to thank the learned referee for his/her suggestions that improved the article.

References

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2019

Authors and Affiliations

  • Sagarmoy Bag
    • 1
    Email author
  • Ram Chandra Manna
    • 2
  • Sourav Kanti Patra
    • 2
  1. 1.Department of Pure MathematicsUniversity of CalcuttaKolkataIndia
  2. 2.Ramakrishna Mission Vidyamandir, Belur MathHowrahIndia

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