On quasi-irresolute characterization of topological loops

Hanan Alolaiyan; Kashif Maqbool; Awais Yousaf; Abdul Razaq

doi:10.1177/00368504211044562

On quasi-irresolute characterization of topological loops

Sci Prog. 2021 Oct;104(4):368504211044562. doi: 10.1177/00368504211044562.

Authors

Hanan Alolaiyan¹, Kashif Maqbool², Awais Yousaf³, Abdul Razaq⁴

Affiliations

¹ Department of Mathematics, 37850King Saud University, Riyadh, Saudi Arabia.
² Department of Mathematics, 54735Govt. Sadiq Egerton Graduate College Bahawalpur, Pakistan.
³ Department of Mathematics, 529976The Islamia University of Bahawalpur, Bahawalpur, Pakistan.
⁴ Department of Mathematics, Division of Science and Technology, 66917University of Education Lahore, Lahore, Pakistan.

Abstract

In this paper, we investigate and explore the properties of quasi-topological loops with respect to irresoluteness. Moreover, we construct an example of a quasi-irresolute topological inverse property-loop by using a zero-dimensional additive metrizable perfect topological inverse property-loop $L^{*}$ with relative topology $τ_{L^{'}}$ .

Keywords: Semi-open set; irresolute mapping; pre-semi-open mapping; quasi-irresolute topological inverse property-loop; semi-compactness.