关于同伦正则态射与覆叠空间  

On homotopy regular morphisms and covering spaces

作　　者：钱有华[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2007年第1期46-48,共3页Journal of Zhejiang Normal University:Natural Sciences

摘　　要：在点标道路连通CW空间的同伦范畴(HCW*)中,利用覆叠函子得出:若f:X→Y是同伦正则态射,且f#:π1X→π1Y是满态射,则对π1Y的任一正规子群H,升腾映射■:(f#-1(H))→(H)The homotopy category of pointed path connected CW spaces（ HCW^＋ ） was studied. Using the covering functor, the result obtained showed as follows： If f：X→Y is a homotopy regular morphism, f#：π1 X→π1Y is epimorphism, H is a normal subgroup of Y, then the lifting f^~：X^^（f#^-1（H））→Y^^（H）iS also a homotopy regular morphism.

关 键 词：同伦正则态射 覆叠空间 升腾 同伦满态 同伦单态 

分 类 号：O189.2[理学—数学]