Some applications of minimal Pγ-open sets

• Autorzy: Khalaf A. B. , Ibrahim H. Z.
• Języki publikacji: EN

Abstrakty

EN

We characterize minimal Pγ-open sets in topological spaces. We show that any nonempty subset of a minimal Pγ-open set is pre Pγ-open. As an application of a theory of minimal Pγ-open sets, we obtain a sufficient condition for a Pγ-locally finite space to be a pre Pγ-Hausdorff space.

Słowa kluczowe

EN

Pγ-open; minimal Pγ-open; pre Pγ-open; finite Pγ-open; Pγ-locally finite; pre Pγ-Hausdorff space

PL

Pγ-zbiór otwarty; zbiór otwarty; przestrzeń Hausdorffa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2014
• Tom: Vol. 47, nr 2
• Strony: 423--432
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Khalaf A. B.

• Department of Mathematics, College of Science, University of Duhok, Kurdistan-Region, Iraq

autor

Ibrahim H. Z.

• Department of Mathematics, Faculty of Science, University of Zakho, Kurdistan-Region, Iraq

Bibliografia

• [1] A. B. Khalaf, H. Z. Ibrahim, Pγ-open sets and Pγ,β-continuous mappings in topological spaces, J. Adv. Stud. Topology 3(4) (2012), 102–110.
• [2] S. Hussain, B. Ahmad, On minimal-open sets, Eur. J. Pure Appl. Math. 2 (2009), 338–351.
• [3] A. S. Mashhour, M. E. Abd El-Monsef, S. N. El-Deeb, On precontinuous and week precontinuous mappings, Proc. Math. Phys. Soc. Egypt 53 (1982), 47–53.
• [4] S. Kasahara, Operation-compact spaces, Math. Japonica 24 (1979), 97–105.
• [5] H. Ogata, Operation on topological spaces and associated topology, Math. Japonica 36(1) (1991), 175–184.