{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:48:57Z","timestamp":1760147337131,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,1,28]],"date-time":"2023-01-28T00:00:00Z","timestamp":1674864000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Escuela Superior Polit\u00e9cnica del Litoral"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we will focus on three types of functions in a generalized topological space, namely; lower and upper semi-continuous functions, and cliquish functions. We give some results for nowhere dense sets and for second category sets. Further, we discuss the nature of cliquish functions in generalized metric spaces and provide the characterization theorem for cliquish functions in terms of nowhere dense sets.<\/jats:p>","DOI":"10.3390\/axioms12020130","type":"journal-article","created":{"date-parts":[[2023,1,30]],"date-time":"2023-01-30T02:01:18Z","timestamp":1675044078000},"page":"130","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["On Semi-Continuous and Clisquish Functions in Generalized Topological Spaces"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5745-3233","authenticated-orcid":false,"given":"Elvis","family":"Aponte","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias Naturales y Matem\u00e1ticas, Escuela Superior Polit\u00e9cnica del Litoral (ESPOL), Campus Gustavo Galindo, km. 30.5 V\u00eda Perimetral, Guayaquil EC090112, Ecuador"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5217-3796","authenticated-orcid":false,"given":"Vadakasi","family":"Subramanian","sequence":"additional","affiliation":[{"name":"Department of Mathematics, A.K.D.Dharma Raja Women\u2019s College, Rajapalayam 626117, Tamil Nadu, India"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9353-5850","authenticated-orcid":false,"given":"Jhixon","family":"Mac\u00edas","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Facultad de Ciencias Naturales y Matem\u00e1ticas, Escuela Superior Polit\u00e9cnica del Litoral (ESPOL), Campus Gustavo Galindo, km. 30.5 V\u00eda Perimetral, Guayaquil EC090112, Ecuador"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3005-0418","authenticated-orcid":false,"given":"Muthumari","family":"Krishnan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, A.K.D.Dharma Raja Women\u2019s College, Rajapalayam 626117, Tamil Nadu, India"}]}],"member":"1968","published-online":{"date-parts":[[2023,1,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1023\/A:1006582718102","article-title":"Generalized open sets","volume":"75","year":"1997","journal-title":"Acta Math. 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