覆叠同伦正则态射的若干性质

Some Properties of Covering Homotopy Regular Morphisms

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.