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A new separation axiom on bitopological spaces

Chandra Kant Goel|POONAM AGARWAL
장전수학회 (Jangjeon Mathematical Society)|2019.04|Advanced Studies in Contemporary Mathematics|제29권 제2호|pp. 263-270

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키워드

and phrases. pairwise R(12) closurepairwise R(21) clo- surepairwise R closure. pairwise TD separation axiom
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초록

The purpose of this paper is to introduce a new separation axiom on bitopological spaces which lies between the separation axiom T0 and T1. A new kind of topology has also been induced over the bitopological spaces. It is interesting to see how this topology behaves in the presence of this new separation axiom.

Abstract

The purpose of this paper is to introduce a new separation axiom on bitopological spaces which lies between the separation axiom T0 and T1. A new kind of topology has also been induced over the bitopological spaces. It is interesting to see how this topology behaves in the presence of this new separation axiom.

참고문헌 (10)

  1. A. S. Dow, "Skula spaces", Commentationes Mathematicae Universitatis Carolinae, 31, pp.27~31 (1990)
  2. B. Banaschewski, "On the congruence lattice of a frame", Pacific Journal of Mathematics, 130, pp.209~213 (1987)
  3. C. E. Aull, "Separation axioms between T0 and T1", Indagationes Mathematicae, 24, pp.26~37 (1963)
  4. J. C. Kelly, "Bitopological Spaces", Proceedings of London Mathematical Society, 13(3), pp.71~89 (1963)
  5. L. D. Nel, "Epire ections in the category of T0-topological spaces", Fun-damenta Matematicae, 75, pp.69~74 (1972)
  6. L. Skula, "On a re ective category of all topological spaces", Transactions of American Mathematical Society, 142, pp.37~61 (1969)
  7. P. Urysohn, "Uber die Machtigkeit der zusammenhangenden Mengen", Mathematische Annalen, 94, pp.262~295 (1925)
  8. R. Wilson, "Epire ections in the category of T0-topological spaces", Fundamenta Math-ematicae, 75, pp.69~74 (1972)
  9. S. Baron, "Note on epi in T0", Canadian Mathematical Bulletin, 11, pp.503~504 (1968)
  10. W. T. Van, "Trennung durch stetige Funktionen in topologischen Raumen", Indagationes Mathematicae, 13, pp.359~368 (1951)

관련 논문AI추천

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