P ́-compact and P ́-closed spaces and some of its properties

Tawfeeq, Bushra Jaralla; Jasem, Sanaa Hamdi

doi:10.47974/JIM-2087

Open Access Research Article

P ́-compact and P ́-closed spaces and some of its properties

^*Bushra Jaralla TawfeeqCorresponding authorbush.jar@uomustansiriyah.edu.iqDepartment of Mathematics College of Education Mustansiriyah University Baghdad, 10052, Iraq0000-0003-4739-971XView full profile → , Sanaa Hamdi Jasemhamdi_sanaa@uomustansiriyah.edu.iqDepartment of Mathematics College of Education Mustansiriyah University Baghdad, 10052, Iraq0000-0003-4993-793XView full profile →

* Corresponding author · click or hover a name for details

pp. 1109–1116Vol. 28Issue 3-BApril 2025DOI: 10.47974/JIM-2087XML

Received:: 08 Oct 2024
Published Online:: 08 May 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-2087
Pages:: 1109–1116

Abstract

This work introduces a new class of spaces called P ́-compact and P ́-closed spaces, and various characterizations of P ́-set and P ́-compact subspace in topological spaces.

Keywords

P ́-compact P ́-closed spaces P ́-set and P ́́-compact subspace

Subject Classifications

54E4554B0554C10

References

[1] B. Abdullah, S. Askandar, and R. Balo, “hα-Open Sets in Topological Spaces,” J. Educ. Sci., vol. 31, no. 3, pp. 91–98 (2022), doi: 10.33899/edusj.2022.134241.1251.

[2] A. B. AL-Nafee, A. Y. Shakir, and R. D. Ali, “New Soft Compact Spaces,” AIP Conf. Proc., vol. 2414, no. February (2023), doi: 10.1063/5.0114660.

[3] S. S. Benchalli and P. G. Patil, “A New Class of Generalized Closed Sets in,” vol. 13, no. 2, pp. 331–345 (2017).

[4] D. E. Cameron, “PROPERTIES OF 5-CLOSED SPACES,” vol. 72, no. 3, pp. 581–586 (1978).

[5] J. Chakraborty, B. Das, P. Mahato, and B. Bhattacharya, “Unification of Generalized pre-regular closed Sets on Topological Spaces,” Iraqi J. Sci., vol. 64, no. 9, pp. 4557–4567 (2023), doi: 10.24996/ijs.2023.64.9.21.

[6] J. Dontchev, “Survey on preopen sets,” pp. 1–18 (1998), [Online]. Available: http://arxiv.org/abs/math/9810177

[7] J. Dontchev, M. Ganster, and T. Noiri, “ON p -CLOSED SPACES,” vol. 24, no. 3, pp. 203–212 (2000).

[8] A. I. El-Maghrabi and A. A. Nasef, “Between semi-closed and GS-closed sets,” J. Taibah Univ. Sci., vol. 2, no.1, pp. 78–87 (2009), doi: 10.1016/S1658-3655(12)60010-7.

[9] M. Ganster, “Some Remarks on Strongly Compact Spaces and Semi Compact Spaces,” vol. 2, no. 10, pp. 1–7 (1987).

[10] F. H. Khedr, “on semi compact spaces,” vol. 8, no. 2.July (1984).

[11] A. M. S. Naief and H. J. Ali, “Nb-Compact and Nb-Lindelöf Spaces,” Iraqi J. Sci., vol. 64, no. 11, pp. 5756–5765 (2023), doi: 10.24996/ijs.2023.64.11.23.

[12] M. H. Page and V. T. Hosamath’ , “A View on Compactness and Connectedness in Topological Spaces,” J. Comput. Math. Sci., vol. 10, no. 6, pp. 1261–1268 (2019), doi: 10.29055/jcms/1114.

[13] R. Rajeswari, S. Darathi, and D. Deva Margaret Helen, “Regular Strongly Compactness and Regular Strongly Connectedness in Topological Space,” Int. J. Eng. Res., vol. V9, no. 02, pp. 547–550 (2020), doi: 10.17577/ijertv9is020255

[14] C. Ronse, “Regular open or closed sets,” Philips Res. Lab. Ser. Brussels, vol. WD59, no. January, pp. 1–8 (1990).

[15] J. Sanabria, E. Rosas, and C. Blanco, “Properties of nearly S-paracompact spaces,” Proyecciones, vol. 42, no. 1, pp. 91–103 (2023), doi: 10.22199/issn.0717-6279-5482.

[16] B. J. Tawfeeq, “Sgs*-Continuous Functions and Almost - Continuous Functions in Topological Spaces,” vol. 4, no. 6, pp. 123–139 (2016).

[17] M. M. Abbood, H. H. Ebrahim, A. Al-Fayadh, and A. J. Obaid, “Measure defined on Γ-algebra and some of their generalizations,” Journal of Interdisciplinary Mathematics, vol. 26, no. 5, pp. 821-827 (2023), doi: 10.47974/JIM-1502.

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