覆叠同伦正则态射的若干性质  

Some Properties of Covering Homotopy Regular Morphisms

作　　者：陈淑萍[1] 钱有华[1] 

机构地区：[1]浙江师范大学数理学院,浙江金华321004

出　　处：《佳木斯大学学报（自然科学版）》2006年第2期280-282,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：浙江师范大学青年基金(20042053)

摘　　要：在点标道路连通CW空间的同伦范畴中,引进了覆叠同伦正则态射的概念,并证明了笛卡尔积保持履叠同伦正则性,继而得到了smash积也保持覆叠同伦正则性,最后讨论了覆叠同伦正则性保函数空间.This paper defines covering homotopy regular morphisms in the homotopy category of pointed path - connected CW - spaces and proves that Cartesian product preserves the properties of covering homotopy regular; Moreover, it furthers the conclusion on Smash product; At last it discusses the properties of covering homotopy regular preserve function space.

关 键 词：履叠同伦正则态射 SMASH积 函数空间 

分 类 号：O189.2[理学—数学]