On inversely θ-semi-open and inversely θ-semi-closed functions
Date
2020
2020
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Abstract
In this paper, we introducethe concepts of inversely 6-semi-openandinversely 6-semi-closed functions andobtain their charactcrizationsif it is possible in terms of 6-closure and6-intcrior by using sets determined by thefibres of the function. Finally, we obtainits relationships withthe strongly @-continuous.
Referencias:
Biswas N., On some mappings in topological spaces, Bull. Calcutta Math. Soc. 61 (1969), 127-135.
Biswas N., On characterizations of semi-continuous functions, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 48 (1970), 399-402.
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.
Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
Long P.E. and Herrington L.L., Strongly θ-continuous functions, J. Korean Math. Soc. 18 (1981), 21-28.
Mršević M. and Andrijević D., θ-connectedness and θ-closure spaces, Topology Appl. 123 (2002), 157-166.
Noorie N.S. and Bala R., Some characterizations of open, closed and continuous mappings, Internat. J. Math. & Math. Sci. (2008), Article ID527106, 5 pages.
Noorie N.S., Inversely open and inversely closed maps, Arya Bhatta J. Math. Inform. 3 (2011), №2.
Noorie N.S. and Ahuja. J., Some characterizations of semi-open, semi-closed and semi-continuous mappings, Arya Bhatta J. Math. Inform. 5 (2013), №2.
Noorie N. S. and Ahuja J., Inversely semi-open and inversely semi-closed maps, J. Adv. Stud. Topol. 5 (2014), №3, 10-15.
Veličko N.V., H-closed topological spaces, Trans. Amer. Math. Soc. 78 (1968), 103-118.
Biswas N., On some mappings in topological spaces, Bull. Calcutta Math. Soc. 61 (1969), 127-135.
Biswas N., On characterizations of semi-continuous functions, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 48 (1970), 399-402.
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.
Levine N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41.
Long P.E. and Herrington L.L., Strongly θ-continuous functions, J. Korean Math. Soc. 18 (1981), 21-28.
Mršević M. and Andrijević D., θ-connectedness and θ-closure spaces, Topology Appl. 123 (2002), 157-166.
Noorie N.S. and Bala R., Some characterizations of open, closed and continuous mappings, Internat. J. Math. & Math. Sci. (2008), Article ID527106, 5 pages.
Noorie N.S., Inversely open and inversely closed maps, Arya Bhatta J. Math. Inform. 3 (2011), №2.
Noorie N.S. and Ahuja. J., Some characterizations of semi-open, semi-closed and semi-continuous mappings, Arya Bhatta J. Math. Inform. 5 (2013), №2.
Noorie N. S. and Ahuja J., Inversely semi-open and inversely semi-closed maps, J. Adv. Stud. Topol. 5 (2014), №3, 10-15.
Veličko N.V., H-closed topological spaces, Trans. Amer. Math. Soc. 78 (1968), 103-118.
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