同伦正则态射的若干性质

Some properties of homotopy regular morphisms

首先证明了点标拓扑空间的笛卡尔积保持同伦正则性,继而证明了Sm ash积也保持同伦正则,最后就函数空间讨论了同伦正则性.由此,得到了比现有文献中闭路函子和同纬函子保持同伦正则性更为一般的结果.

It was showed that Cartesian product of pointed topological spaces preserved the properties of homotopy regularity; Moreover, it was also showed the smimlar validits for the conclusion on Smash product; It was discussed the properties of homotopy regularity preserve function space. Comparing with other paper called loop space functor and suspension functor preserve properties of homtopy regular, these results seemed much more general.