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Remarks on (기호)-operations induced by a topology

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Cs(특수문자)sz(특수문자)r [3] introduced the notions of (기호)-compact and (기호)-opera-tion on a topological space. In this paper, we introduce the notions of almost (기호)-compact, ((기호), τ)-continuous function and ((기호), τ)-open function defined by (기호)-operation on a topological space and investigate some properties for such notions.

Abstract

Cs(특수문자)sz(특수문자)r [3] introduced the notions of (기호)-compact and (기호)-opera-tion on a topological space. In this paper, we introduce the notions of almost (기호)-compact, ((기호), τ)-continuous function and ((기호), τ)-open function defined by (기호)-operation on a topological space and investigate some properties for such notions.

참고문헌 (8)

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  2. A. Csaszar, "Generalized open sets", Acta. Math. Hungar, 75(1), pp.65~87 (1997)
  3. A. Csaszar, "-compact spaces", Acta. Math. Hungar, 87(1), pp.99~107 (2000)
  4. A. Csaszar, "-connected sets", Acta. Math. Hungar, 101(4), pp.273~279 (2003)
  5. N. Levine, "Semi-open sets and semi-continuity in topological spaces", Amer .Math. Monthly, 70, pp.36~41 (1963)
  6. A. S. Mashhour, "On precontinuous and weak precontinuous mappings", Proc. Math. and Phys. Soc. Egypt, 53, pp.47~53 (1982)
  7. O. Nj_ astad, "On some classes of nearly open sets", Pacic J. Math, 15, pp.961~970 (1965)
  8. N. V. Velicko, "H-closed topological spaces", Amer. Math. Soc. Transl, 78, pp.103~118 (1968)

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