{"title":"Completeness theorem for continuous functions and product class-topologies","authors":"Radosav Djordjevic, V. Ristić, N. Ikodinovic","doi":"10.2298/PIM160525001D","DOIUrl":null,"url":null,"abstract":"We introduce an infinitary logic LA(On,Cn)n(ω which is an extension of LA \n obtained by adding new quantifiers On and Cn, for every n(ω. The \n corresponding models are topological class-spaces. An axiomatization is given \n and the completeness theorem is proved.","PeriodicalId":416273,"journal":{"name":"Publications De L'institut Mathematique","volume":"88 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Publications De L'institut Mathematique","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/PIM160525001D","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce an infinitary logic LA(On,Cn)n(ω which is an extension of LA
obtained by adding new quantifiers On and Cn, for every n(ω. The
corresponding models are topological class-spaces. An axiomatization is given
and the completeness theorem is proved.