论拓扑分子格与经典拓扑空间的本质区别

拓扑分子格理论是点集拓扑学与Ｆｕｚｚｙ拓扑学的共同推广．由于序结构与拓扑结构并存且相互配合,拓扑分子格理论有更广泛的内涵．最近有人试图以经典拓扑空间的方法来处理拓扑分子格理论,本文证明这是不可能的．

Essential difference between the theory of topological molecular lattices and classical topology

The theory of topological molecular lattices (briefly, TMLs) is the extension ofthe point-set topology and Fuzzy topology. Because the order structure and topologicalstructure exist side by side and they combine consistently and complement each other, thetheory of topological molecular lattices has wide internal context. Recently, someonethought that he could " translate" the theory of TMLs into classical topology, as if therewere some way for dealing with the theory of TMLs by means of the old method indeveloping classical topology the author proves that it is an absurd idea and far from reality.