Correo Electrónico
DNINFOA - SIA
Bibliotecas
Convocatorias
Identidad U.N.
Publicado
Pairwise S-Normal Spaces
Palabras clave:
Semi - open, Semi-closed, Regular, Normal (en)Descargas
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
ARYA S. P. and BHAMINI M. P., A generalization of normal spaces, Mat. Vesnik 35 (1983), 1-10.
ARYA S. P. and BHAMINI M. P., A note on completely sregular spaces, pre-print.
CROSSLEY S. G. and HILDEBRAND S. K., Semi-closure, Texas J.Sci., 22 (1971), 99-112.
CROSSLEY S. G. and HILDEBRAND S. K., Semi-topological properties, Fund. Math. 74 (1972), 233-254.
KATETOV M., “Correction to “on real valued functions in topological spaces’', Fund. Math. 38 (1951), 85-91, Ibid. 40 (1953), 203-205.
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.
LANE E. P., Bitopological spaces and quasi-uniform spaces, Ibid, 27 (1967), 241-256.
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.
NjASTAD O., On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961-970.
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.
