{"title":"On the homotopy equivalence of the spaces of proper and local maps","authors":"Piotr Bartłomiejczyk, P. Nowak-Przygodzki","doi":"10.2478/s11533-014-0410-5","DOIUrl":null,"url":null,"abstract":"We prove that for n > 1 the space of proper maps P0(n, k) and the space of local maps F0(n, k) are not homotopy equivalent.","PeriodicalId":50988,"journal":{"name":"Central European Journal of Mathematics","volume":"190 1","pages":"1330-1336"},"PeriodicalIF":0.0000,"publicationDate":"2014-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11533-014-0410-5","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 prove that for n > 1 the space of proper maps P0(n, k) and the space of local maps F0(n, k) are not homotopy equivalent.