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Generalized $(\Lambda,b)$-closed sets in topological spaces

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A new class of sets, called generalized $(\Lambda,b)$-closed sets, has been introduced and studied. Also, several properties of generalized $(\Lambda,b)$-closed sets are investigated. Some characterizations of $\Lambda_b$-regular spaces and $\Lambda_b$-normal spaces are discussed.

Abstract

A new class of sets, called generalized $(\Lambda,b)$-closed sets, has been introduced and studied. Also, several properties of generalized $(\Lambda,b)$-closed sets are investigated. Some characterizations of $\Lambda_b$-regular spaces and $\Lambda_b$-normal spaces are discussed.

참고문헌 (6)

  1. D. Andrijevic, "On b-open sets", Mat. Vesnik, 48, pp.59~64 (1996)
  2. D. Andrijevic, "Semi-preopen sets", Mat. Vesnik, 38, pp.24~32 (1986)
  3. M. Caldas, "On b-sets and the associated topology b", Acta Math. Hungar., 110, pp.337~345 (2006)
  4. H.H. Corson, "Metrizability of certain countable unions", Illinois J. Math., 8, pp.351~360 (1964)
  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", Pro. Math. Phys. Soc. Egypt, 53, pp.47~53 (1982)

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