【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.更多还原

【Abstract】 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 k-stable homotopy.更多还原