On inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions

  • J. Sanabria Universidad de Sucre, Facultad de Educación y Ciencias, Departamento de Matemáticas, Carrera 28 No. 5-267 Barrio Puerta Roja, Sincelejo, Colombia
  • E. Rosas Universidad de la Costa, Departamento de Ciencias Naturales y Exactas, Barranquilla, Colombia & Departamento en Matemáticas, Universidad de Oriente, Cumaná, Venezuela
  • L. Vásquez Instituto Superior de Formación Docente Salomé Ureña-ISFODOSU, Recinto Emilio Prud’Homme, Calle R.C. Tolentino # 51, esquina 16 de Agosto, Los Pepines, Santiago de los Caballeros, República Dominicana

Анотація

In this paper, we introduce the concepts of inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions and obtain their characterizations if it is possible in terms of $\theta$-closure and $\theta$-interior by using sets determined by the fibres of the function. Finally, we obtain its relationships with the strongly $\theta$-continuous.

Посилання

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.

Опубліковано
2020-03-17
Як цитувати
Sanabria, J., Rosas, E., & VásquezL. (2020). On inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions. Математичні студії, 53(1), 92-99. https://doi.org/10.30970/ms.53.1.92-99
Розділ
Статті