Generalized Smooth Lattices
Xiaoquan Xu · Mohu xitong yu shuxue · 2009
The concepts of generalized smooth lattices and generalized smooth algebraic lattices are introduced,which generalize respectively the concepts of smooth lattices and Scott-compactly generated lattices introduced by Weng.Some mapping properties of generalized smooth lattices and generalized smooth algebraic lattices are investigated.It is proved tha a complete latticeis generalized completely dirtributive if and only if it is both generalized smooth and generalized continuous.