同纬映象函子与同伦正则态射  

Suspension Functor and Homotopy Regular Morphism

作　　者：钱有华[1,2] 陈胜敏[1] 

机构地区：[1]浙江师范大学数理信息学院,浙江金华321004 [2]北京工业大学机电学院,北京100124

出　　处：《吉林大学学报（理学版）》2009年第3期476-480,共5页Journal of Jilin University:Science Edition

基　　金：浙江省高校青年教师资助项目基金(批准号:浙教高科2008142号)

摘　　要：利用同纬映象函子定义稳定同伦正则态射,并研究了稳定同伦正则态射存在的条件及性质,得到如下结果:若态射f:X→Y有稳定同伦标准分解(g,Z,h),设有A,B及相应的态射i:A→X与p:Y→B,使得gi和ph是稳定同伦等价的,则f:X→Y必为稳定同伦正则态射,且在k-稳定同伦意义下惟一.Stable homotopy regular morphism is defined in this paper by using suspension functor. Its existence and properties are also presented. The main conclusion is as follows. Let f： X→Y be a map of stable standard decomposition （g, Z, h）. Supposing that there exist A,B and i： A→X, p： Y→B such that gi and ph are all stable homotopy equivalences, then f is a stable homotopy regular morphism, and f is uniqueness in the sence of κ-stable homotopy.

关 键 词：同纬映象函子 同伦正则态射 稳定同伦正则态射 

分 类 号：O189.2[理学—数学]