Boundary Sets, Exterior Sets and Dense Sets in Bi-weak Structure Spaces
Abstract
In this article, the concepts of boundary sets, exterior sets and dense sets in bi-weak structure spaces are introduced. Some properties of their sets are obtained. In particular, some characterizations of closed sets in bi-weak structure spaces using boundary sets or exterior sets are obtained. Keywords: boundary set, exterior set, dense set, bi-weak structure space.References
Boonpok, C. (2010). Biminimal structure spaces. Int. Math. Forum, 5, 703-707.
Boonpok, C. (2010). Weakly open function on bigeneralized topological spaces. Int. J. Math. Analysis, 4,
891- 897.
Csa´aza´r, A´. (2002). Generalized topology, generalized continuity. Acta Math. Hungar., 96, 351-357.
Csa´aza´r, A´. (2011). Weak structures. Acta Math. Hungar., 131, 193-195.
Kelly, J.C. (1963). Bitopological spaces. Proc. London. Math. Soc., 13, 71-89.
Popa, V. & Noiri, T. (2000). On M-continuous functions. Anal. Univ. “Dunarea de Jos” Galati, Ser. Mat. Fiz.
Mec. Teor., Fasc. II, 18, 31–41.
Puiwong, J., Viriyapong, C. & Khampakdee J. (2017). Weak separation axioms in bi-weak structure spaces.
Burapha Science Journal, 23(2), 110-117.
Sompong, S. (2011). Boundary set in biminimal structure spaces. Int. J. Math. Analysis, 7, 297-301.
Sompong, S. (2011). Exterior set in biminimal structure spaces. Int. J. Math. Analysis, 22, 1087-1091.
Sompong, S. (2012). Dense sets in biminimal structure spaces. Int. J. Math. Analysis, 6, 279-283.
Boonpok, C. (2010). Weakly open function on bigeneralized topological spaces. Int. J. Math. Analysis, 4,
891- 897.
Csa´aza´r, A´. (2002). Generalized topology, generalized continuity. Acta Math. Hungar., 96, 351-357.
Csa´aza´r, A´. (2011). Weak structures. Acta Math. Hungar., 131, 193-195.
Kelly, J.C. (1963). Bitopological spaces. Proc. London. Math. Soc., 13, 71-89.
Popa, V. & Noiri, T. (2000). On M-continuous functions. Anal. Univ. “Dunarea de Jos” Galati, Ser. Mat. Fiz.
Mec. Teor., Fasc. II, 18, 31–41.
Puiwong, J., Viriyapong, C. & Khampakdee J. (2017). Weak separation axioms in bi-weak structure spaces.
Burapha Science Journal, 23(2), 110-117.
Sompong, S. (2011). Boundary set in biminimal structure spaces. Int. J. Math. Analysis, 7, 297-301.
Sompong, S. (2011). Exterior set in biminimal structure spaces. Int. J. Math. Analysis, 22, 1087-1091.
Sompong, S. (2012). Dense sets in biminimal structure spaces. Int. J. Math. Analysis, 6, 279-283.
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Published
2020-05-01
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Research Article
