具有分离性的预拓扑空间的范畴性质

Categorical properties of pre-topological spaces with some separations

刻画了Ti预拓扑空间及连续映射的范畴PTopi中的满态射、单态射、极端单态射和极端满态射(i=0,1,2,3,3(1/2),4)。证明完全正则预拓扑空间及连续映射的范畴Tych和PTopi是预拓扑空间及连续映射的范畴PTop的满反射子范畴(i=0,1,2,3)。

Epimorphisms, monomorphisms, extremal monomorphisms, and extremal epimorphisms of Plopi , the category of Ti pre-topological spaces and continuous mappings between them are characterized （ i = 0,1,2,3,31/2,4）. It is proved that Tych, the category of complete regular pre-topological spaces and continuous mappings between them, and Flops （ i = 0, 1,2,3） are epireflective subcategories of Flop, which is the category of pre-topalogical spaces and continuous mappings between them.