关于同伦正则态射与覆叠空间

On homotopy regular morphisms and covering spaces

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.