复形范畴函子(_RY,hom_s(Y,-))的同伦伴随性

The homotopy adjoint property of the functors(_RY,hom_s(Y,-)) in the categories of complexes

主要讨论了复形范畴的张量积函子与hom函子的同伦伴随性,并且给出了同伦正则正向极限的定义,证明了复形范畴的张量积函子保持这种极限.

This paper discusses the homotopy adjoint property of tensor product functor ×RY and the hom functor hom, （Y,- ） in the categories of complexes. As its applica tion, the functor ×RY is showed to preserve a limit which is called homotopy regular direct limit.