R(L)的截空间表现定理

A representation theorem for the section space of R(L)

利用连续格理论获得 LF 实直线 R(L)的截空间的一个表现定理.同时得到 R(L)是:(i)连通的;(ii)非强仿紧的(L≠{0,1});(iii)R(L)的底空间是平庸空间(L≠{0,1});(iV)R(L)的截空间是分明 T_2空间.

Making use of the theory of continuous lattices,the representation theorem fr the section space of R(L)is obtained.At same time,it is proved that:(i)R(L)is connected;(ii)R(L)is not strong paracompact for L≠{0,1};(iii)its underlying space is trivial (L≠{0,1});(iv)its section space is a crisp T_2 space.