拓扑分子格的极不连通性和S－闭性

Extreme Disconnectedness and S-closedness of Topological Molecular Lattice

英文关键词:topological molecular lattice. extreme discommectedness S-closedness.

中文摘要:

      利用完备余ｃｏ－Ｈｅｙｔｉｎｇ代数上的伪补运算，在拓扑分子格上引入极不连通性和Ｓ－闭性，得到了每个Ｓ－闭的正则拓扑分子格是极不连通的以及同胚的广义序同态保持极不连通性和Ｓ－闭性．

英文摘要:

      We introduce the concepts of cetreme disconnectedness and S-closedness of topological molecular lattices by using the pseudo-negation on complete co-Heyting algebra. Results include: (1) every S-closed regualr topological lattice is extremally disconnected; (2) both extreme discunnectedness and S-closedness are invariant under homeomorphic GOHs.