{"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}
引用次数: 1
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.