Z-连续格的函数空间

Function Space of Z-continuous Lattices

若 Z为并完备的子集系统 ,且 IZ( L)关于集合的包含关系构成完备格 ,则 :( 1 ) Z-连续格的函数空间仍为 Z-连续的 ;( 2 )对于 Z-连续格范畴 ZL ,定义了一函子 F:ZL× ZL→ ZL.

If Z is an union complete subset system and I Z(L) is a complete lattice, then (1)function spaces of Z continuous lattices are also Z continuous,(2)we introduce an important functor on the category ZL with Z continuous lattices as objects and Z homomorphisms as morphisms.