{"title":"可度量函子的无限迭代的三元组","authors":"V. Fedorchuk","doi":"10.1070/IM1991V036N02ABEH002028","DOIUrl":null,"url":null,"abstract":"The concepts of metrizable, uniformly metrizable, and perfectly metrizable functors are introduced. The triple , , of infinite iterates of a perfectly metrizable functor is defined. The geometric properties of such triples are investigated for the continuous hyperspace functor and the probability measure functor. Bibliography: 14 titles.","PeriodicalId":159459,"journal":{"name":"Mathematics of The Ussr-izvestiya","volume":"71 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-04-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"TRIPLES OF INFINITE ITERATES OF METRIZABLE FUNCTORS\",\"authors\":\"V. Fedorchuk\",\"doi\":\"10.1070/IM1991V036N02ABEH002028\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concepts of metrizable, uniformly metrizable, and perfectly metrizable functors are introduced. The triple , , of infinite iterates of a perfectly metrizable functor is defined. The geometric properties of such triples are investigated for the continuous hyperspace functor and the probability measure functor. Bibliography: 14 titles.\",\"PeriodicalId\":159459,\"journal\":{\"name\":\"Mathematics of The Ussr-izvestiya\",\"volume\":\"71 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-04-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics of The Ussr-izvestiya\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1070/IM1991V036N02ABEH002028\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-izvestiya","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/IM1991V036N02ABEH002028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
TRIPLES OF INFINITE ITERATES OF METRIZABLE FUNCTORS
The concepts of metrizable, uniformly metrizable, and perfectly metrizable functors are introduced. The triple , , of infinite iterates of a perfectly metrizable functor is defined. The geometric properties of such triples are investigated for the continuous hyperspace functor and the probability measure functor. Bibliography: 14 titles.
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