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Categorical property of intuitionistic topological spaces

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We obtain some characterizations of continuous, open and closed functions in intuitionistic topological spaces. Moreover we reveal that the category of topological spaces is a bireflective full subcategory of the category of intuitionistic topological spaces.

Abstract

We obtain some characterizations of continuous, open and closed functions in intuitionistic topological spaces. Moreover we reveal that the category of topological spaces is a bireflective full subcategory of the category of intuitionistic topological spaces.

참고문헌 (10)

  1. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets and Systems, 20, pp.87~96 (1986)
  2. K. T. Atanassov, "More on intuitionistic fuzzy sets", Fuzzy Sets and Systems, 33(1), pp.37~45 (1989)
  3. K. T. Atanassov, "Answer to D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade’ paper: Terminological difficulties in fuzzy set theory—he case of ‘intuitionistic fuzzy sets’", Fuzzy Sets and Systems, 156(3), pp.496~499 (2005)
  4. K. T. Atanassov, "Intuitionistic fuzzy sets", in Proceedings of the Polish Symposium on Interval & Fuzzy Mathematics, pp.13~16 (1983), Wydawn. Politech.
  5. S. Bayhan, "On separation axioms in intuitionistic topological spaces", Int. J. Math. Math. Sci., 27(10), pp.621~630 (2001)
  6. S. Bayhan, "Pairwise separation axioms in intuitionistic topological spaces", Hacet. J. Math. Stat., 34S, pp.101~114 (2005)
  7. D. Çoker, "An introduction to intuitionistic fuzzy topological spaces", Fuzzy Sets and Systems, 88, pp.81~89 (1997)
  8. D. Çoker, "An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces", J. Fuzzy Math., 4(4), pp.749~764 (1996)
  9. D. Çoker, "An introduction to intuitionistic topological spaces", Bulletin for Studies and Exchanges on Fuzziness and its Applications, 81, pp.51~56 (2000)
  10. H. Herrlich, "Category Theory: an introduction" (1973), Allyn and Bacon Inc.

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