<doi_batch xmlns="http://www.crossref.org/schema/4.4.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" version="4.4.0"><head><doi_batch_id>51bbbf10-b34a-41db-a7bf-ed9cc972fac3</doi_batch_id><timestamp>20250708023305550</timestamp><depositor><depositor_name>wseas:wseas</depositor_name><email_address>mdt@crossref.org</email_address></depositor><registrant>MDT Deposit</registrant></head><body><journal><journal_metadata language="en"><full_title>WSEAS TRANSACTIONS ON MATHEMATICS</full_title><issn media_type="electronic">2224-2880</issn><issn media_type="print">1109-2769</issn><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23206</doi><resource>http://wseas.org/wseas/cms.action?id=4051</resource></doi_data></journal_metadata><journal_issue><publication_date media_type="online"><month>1</month><day>20</day><year>2025</year></publication_date><publication_date media_type="print"><month>1</month><day>20</day><year>2025</year></publication_date><journal_volume><volume>24</volume><doi_data><doi>10.37394/23206.2025.24</doi><resource>https://wseas.com/journals/mathematics/2025.php</resource></doi_data></journal_volume></journal_issue><journal_article language="en"><titles><title>A Study on Soft Compactness in Soft R0 and Soft R1 Spaces</title></titles><contributors><person_name sequence="first" contributor_role="author"><given_name>Sandeep</given_name><surname>Kaur</surname><affiliation>Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, Punjab, INDIA</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Alkan</given_name><surname>Özkan</surname><affiliation>Department of Mathematics, Faculty of Arts and Sciences, Iğdır University, Merkez 76000, Iğdır TURKEY</affiliation></person_name><person_name sequence="additional" contributor_role="author"><given_name>Engi̇n</given_name><surname>Özkan</surname><affiliation>Department of Mathematics, Faculty of Science, Marmara University, Kadıköy 34722, İstanbul, TURKEY</affiliation></person_name></contributors><jats:abstract xmlns:jats="http://www.ncbi.nlm.nih.gov/JATS1"><jats:p>To address challenges in solving certain problems in topology, it is often necessary to impose specific conditions on topological spaces. This has led to the development of new concepts, such as separation axioms. In this paper, we investigate new properties of soft R0 and soft R1 spaces using the concept of soft points. Our research examines when a soft compact set behaves similarly to a soft closed set in these spaces, helping to clarify their structural characteristics. We also explore related findings, shedding light on how soft compactness and sof closedness interact. Additionally, we present various findings related to this topic, contributing to a deeper understanding of soft topological spaces.</jats:p></jats:abstract><publication_date media_type="online"><month>7</month><day>8</day><year>2025</year></publication_date><publication_date media_type="print"><month>7</month><day>8</day><year>2025</year></publication_date><pages><first_page>477</first_page><last_page>481</last_page></pages><publisher_item><item_number item_number_type="article_number">46</item_number></publisher_item><ai:program xmlns:ai="http://www.crossref.org/AccessIndicators.xsd" name="AccessIndicators"><ai:free_to_read start_date="2025-07-08"/><ai:license_ref applies_to="am" start_date="2025-07-08">https://wseas.com/journals/mathematics/2025/a925106-023(2025).pdf</ai:license_ref></ai:program><archive_locations><archive name="Portico"/></archive_locations><doi_data><doi>10.37394/23206.2025.24.46</doi><resource>https://wseas.com/journals/mathematics/2025/a925106-023(2025).pdf</resource></doi_data><citation_list><citation key="ref0"><doi>10.1016/s0898-1221(99)00056-5</doi><unstructured_citation>D. 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