{"title":"逆分量裁剪序列和区间上的连通逆极限","authors":"I. Banič, Matevz Crepnjak","doi":"10.3336/GM.53.2.09","DOIUrl":null,"url":null,"abstract":"We give a characterization of inverse sequences with upper semicontinuous bonding functions fi : [0, 1] ⊸ [0, 1] for which the inverse limit of the inverse sequence with f i as bonding functions is connected. As a byproduct, we obtain another characterization of connected inverse limits of inverse sequences with a single bonding function.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Inverse component cropping sequences and connected inverse limits over intervals\",\"authors\":\"I. Banič, Matevz Crepnjak\",\"doi\":\"10.3336/GM.53.2.09\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give a characterization of inverse sequences with upper semicontinuous bonding functions fi : [0, 1] ⊸ [0, 1] for which the inverse limit of the inverse sequence with f i as bonding functions is connected. As a byproduct, we obtain another characterization of connected inverse limits of inverse sequences with a single bonding function.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2018-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.3336/GM.53.2.09\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/GM.53.2.09","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Inverse component cropping sequences and connected inverse limits over intervals
We give a characterization of inverse sequences with upper semicontinuous bonding functions fi : [0, 1] ⊸ [0, 1] for which the inverse limit of the inverse sequence with f i as bonding functions is connected. As a byproduct, we obtain another characterization of connected inverse limits of inverse sequences with a single bonding function.