{"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}
引用次数: 14
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.
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