{"title":"ON UNIQUE RECOVERABILITY OF CONVEX AND VISIBLE COMPACTA FROM THEIR PROJECTIONS","authors":"V. Golubyatnikov","doi":"10.1070/SM1992V073N01ABEH002531","DOIUrl":null,"url":null,"abstract":"The question is: Under what conditions does the congruence of the projections of two compacta on every two-dimensional plane imply the congruence of the compacta themselves? The results are extended to the cases of (n – 2)-visible and (n – 2)-convex compacta, and even to the case when it is known the projections of the compacta are merely similar.","PeriodicalId":208776,"journal":{"name":"Mathematics of The Ussr-sbornik","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1992-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics of The Ussr-sbornik","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1070/SM1992V073N01ABEH002531","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
The question is: Under what conditions does the congruence of the projections of two compacta on every two-dimensional plane imply the congruence of the compacta themselves? The results are extended to the cases of (n – 2)-visible and (n – 2)-convex compacta, and even to the case when it is known the projections of the compacta are merely similar.
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