{"title":"连续函数的完备性定理与积类拓扑","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":"{\"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}","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}
Completeness theorem for continuous functions and product class-topologies
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.
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