F. Capulín, L. Juárez-Villa, Fernando Orozco-Zitli
{"title":"Ri-sets, pseudo-contractibility and weak contractibility on hyperspaces of continua","authors":"F. Capulín, L. Juárez-Villa, Fernando Orozco-Zitli","doi":"10.3336/GM.53.2.08","DOIUrl":null,"url":null,"abstract":"In this paper we discuss the notions of pseudo-contractibility and weak contractibility on hyperspaces of (Hausdorff) continua. Also we prove that if a continuum X contains an R-set then it is not pseudocontractible. As a consequence we have that the existence of an R-set in a continuum X implies non(pseudo)-contractibility of some hyperspaces.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"30 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Glasnik Matematicki","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/GM.53.2.08","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper we discuss the notions of pseudo-contractibility and weak contractibility on hyperspaces of (Hausdorff) continua. Also we prove that if a continuum X contains an R-set then it is not pseudocontractible. As a consequence we have that the existence of an R-set in a continuum X implies non(pseudo)-contractibility of some hyperspaces.
期刊介绍:
Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.