Ps-normal and Ps-Tychonoff spaces


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.

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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.

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Correspondence to Sagarmoy Bag.

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The first author thanks the NBHM, Mumbai-400 001, India, for financial support. The second author thanks to Government of West Bengal, India, for financial support.

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Bag, S., Manna, R.C. & Patra, S.K. Ps-normal and Ps-Tychonoff spaces. Afr. Mat. 31, 589–594 (2020).

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

Mathematics Subject Classification

  • Primary 54C40
  • Secondary 46E25