Publicado

1992-01-01

Pairwise S-Normal Spaces

Palabras clave:

Semi - open, Semi-closed, Regular, Normal (en)

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Autores/as

  • Bhamini M. P. Nayar Howard University Washington
  • S. P. Arya Maitreyi College

Extending the concept of s - normal spaces to bitopological spaces, the concept of pairwise s - normal spaces is introduced. A space X is said to be s - normal if any two disjoint semi - closed subsets of X can be separated by disjoint semi - open sets. A space (X, τ1 τ2) is said to be pairwise s - normal if for any τ1  semi-closed set A and a τj- semi-closed set B disjoint from A, there exists a τ1 - - semi - open set U and τj-  - semi - open set V such that A ⊆  V , B ⊆  U and U ∩ V = o where i ≠ j ; i, j = 1, 2. Several characterizations and other results concerning pairwise s - normal spaces have been obtained.

Referencias

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ARYA S. P. and BHAMINI M. P., A note on completely sregular spaces, pre-print.

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KELLEY J. L., General Topology, Van Nostrand, Reinhold Company, New York 1969.

KELLEY J. C., Bitopological spaces, Proc. London Math. Soc. (3) 13 (1963), 71-89.

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LEVINE N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.

MAHESHWARY S. N. and PRASAD R., Some new separation axioms in bitopological spaces, Mat. Vesnik 12 (27) (1975), 159-162.

MAHESHWARY S. N. and PRASAD R., On pairwise s-normal spaces, Kyungpook Math. J. 15 (1975), 37-40.

MAHESHWARY S. N. and PRASAD R., On pairwise s-regular spaces, Riv. Mat. Univ. Parma (4) 4(1979), 45-48.

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NOIRI T., On pairwise s-regular spaces, Atti. Accad. Naz. Lencei, Rend. Cl. Sci. Fis. Mat. Natur. (8 ) 62 (1977), 787-790.

NOIRI T. A generalization of closed mappings, Ibid, (8) 54 (1973), 412-415.

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Cómo citar

Nayar, B. M. P., & Arya, S. P. (1992). Pairwise S-Normal Spaces. Revista Colombiana De Matemáticas, 26(1-4), 25-38. https://revistas.unal.edu.co/index.php/recolma/article/view/94134

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Creative Commons License

Esta obra está bajo una licencia internacional Creative Commons Atribución 4.0.