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NEW FORMS OF COMPACTNESS IN BITOPOLOGICAL SPACES

MONIKA GAUR|M.K. GUPTA
장전수학회 (Jangjeon Mathematical Society)|2021.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제24권 제4호|pp. 481-493|DOI 10.17777/pjms.2021.24.4.006

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참고문헌

키워드

Idealpairwise compactnesspairwise compactness modulo an idealpair- wise ρL-compactnesspairwise σL-compactness.
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초록

The aim of the present paper is to introduce some new types of pairwise compactness in bitopological spaces. In this paper we defi ne pair- wise ρL-compactness and pairwise σL-compactness. We study some of their properties and also prove that these two compactness are the strong forms of pairwise compactness modulo an ideal.

Abstract

The aim of the present paper is to introduce some new types of pairwise compactness in bitopological spaces. In this paper we defi ne pair- wise ρL-compactness and pairwise σL-compactness. We study some of their properties and also prove that these two compactness are the strong forms of pairwise compactness modulo an ideal.

참고문헌 (12)

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  2. MONIKA GAUR, "C-α-(τ)-COMPACT SPACES", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 21(4), pp.661~666 (2018), 장전수학회[DOI]
  3. M. K. Gupta, "C-compactness modulo an ideal", Int. J. Math. Math. Sci, pp.1~12 (2006)[DOI]
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  5. R. Kaur, "New closed sets and maps via ideals", Thai J. Math, 15(1), pp.183~191 (2017)
  6. J. C. Kelly, "Bitopological spaces", Proc. London Math. Soc, 13, pp.71~89 (1963)
  7. K. Kuratowski, "Topology. Vol. I" (1966), Academic Press
  8. S. Lal, "Pairwise compactness modulo an ideal", Indian J. Math, 42(2), pp.241~251 (2000)
  9. R.L. Newcomb, "Topologies which are compact modulo an ideal", Ph.D, pp.1967
  10. N. R. Pachon, "New forms of strong compactness in terms of ideals", Int. J. of Pure and Applied Math, 106(2), pp.481~493 (2016)
  11. W. J. Pervin, "Connectedness in bitopological spaces", Indag. Math, 29, pp.369~372 (1967)
  12. D. V. Rancin, "Compactness modulo an ideal", Soviet Mathematics. Doklady, 13, pp.193~197 (1972)

관련 논문AI추천

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