格范畴及其态射的若干刻画

Some Characterization of Category of Lattices and its Morphisms

介绍了一些主要的相关格范畴,一类是以完备格为对象而态射不同的范畴;另一类是以保定向并映射为态射而对象不同的范畴.着重于半连续格范畴的态射类的构成,给出了一个新的刻画.

Introduces some category of lattices: One class of the categories is that whose objects are complete lattices but whose morphisms are different; the other class of the categories is that whose morphisms are the functions preserving directed sups but whose objects are different. Especially gives a new characterization on morphisms of category of semicontinuous lattices.