Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions

Ali Atoom

doi:10.47000/tjmcs.1786969

Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions

Abstract

Everyday challenges are characterized by vast amounts of informa- tion and varying degrees of obfuscation. Consequently, it is crucial to develop new mathematical techniques to solve issues. As this paper discusses, the optimal tool for this purpose should have the perfect functions. As a result, we investigate the construction of L−per- fect functions in this study using multiple set amplifiers.The category of L−perfect functions, which are continuous closed functions with Lindelöf fibers, is thoroughly examined in this study along with addi- tional findings and consequences related to covering roles in topologi- cal spaces with L−perfect functions. Inverse maintenance of Lindelöf spaces, compositional stability, and characterization through inverse images are among the essential qualities we establish. We illustrate the scope and limitations of the theory, including applications that include functions, and analyze its use through a number of instances and counterexamples.

Keywords

Supporting Institution

There is no supporting institution

Project Number

24

Ethical Statement

I hereby declare that this manuscript is the original work of the authors, has not been published before, and is not currently under consideration for publication in any other journal. All sources of information and intellectual contributions have been duly acknowledged through proper citations, and any potential conflicts of interest have been fully disclosed.

Thanks

We sincerely thank the editorial board for considering our manuscript for review. We are grateful for your time and effort and kindly request your assistance in facilitating a timely peer-review process. We hope for a positive evaluation and look forward to the possibility of its prompt publication in your esteemed journal. Thank you for your support.

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Details

Primary Language

English

Subjects

Topology

Journal Section

Research Article

Authors

Ali Atoom ^*
0000-0001-5249-1823
Jordan

Publication Date

June 30, 2026

Submission Date

September 19, 2025

Acceptance Date

December 2, 2025

Published in Issue

Year 2026 Volume: 18 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1786969

IZ

https://izlik.org/JA27KA45XL

Cite

RIS / Bibtex

APA

Atoom, A. (2026). Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions. Turkish Journal of Mathematics and Computer Science, 18(2), 419-428. https://doi.org/10.47000/tjmcs.1786969

AMA

1.Atoom A. Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions. TJMCS. 2026;18(2):419-428. doi:10.47000/tjmcs.1786969

Chicago

Atoom, Ali. 2026. “Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces With Lindel¨of Perfect Functions”. Turkish Journal of Mathematics and Computer Science 18 (2): 419-28. https://doi.org/10.47000/tjmcs.1786969.

EndNote

Atoom A (June 1, 2026) Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions. Turkish Journal of Mathematics and Computer Science 18 2 419–428.

IEEE

[1]A. Atoom, “Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions”, TJMCS, vol. 18, no. 2, pp. 419–428, June 2026, doi: 10.47000/tjmcs.1786969.

ISNAD

Atoom, Ali. “Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces With Lindel¨of Perfect Functions”. Turkish Journal of Mathematics and Computer Science 18/2 (June 1, 2026): 419-428. https://doi.org/10.47000/tjmcs.1786969.

JAMA

1.Atoom A. Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions. TJMCS. 2026;18:419–428.

MLA

Atoom, Ali. “Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces With Lindel¨of Perfect Functions”. Turkish Journal of Mathematics and Computer Science, vol. 18, no. 2, June 2026, pp. 419-28, doi:10.47000/tjmcs.1786969.

Vancouver

1.Ali Atoom. Further Discoveries and Implications Pertaining to Covering Roles Topological Spaces with Lindel¨of Perfect Functions. TJMCS. 2026 Jun. 1;18(2):419-28. doi:10.47000/tjmcs.1786969