摘要
设（Ｌ，η）是对称拓扑分子格，如果每个开元的闭包是开的，则称（Ｌ，η）为极不连通的．给出了它的一些等价刻划及特征性质，尤其指出在极不连通的对称拓扑分子格中，三种（可数）Ｓ－闭性彼此等价以及三种仿Ｓ－闭性彼此等价．
A symmetric TML(L,η) is Called extremally disconnected, if the closure of every open element is open. This paper proevs the equivalent characterizations and characteristic properties, hence concludes that three(countable) S closedness are equivalent to each other and three para S closednesses are equivalent to each other in extremally disconnected symmetric TML.
出处
《广西民族学院学报（自然科学版）》
CAS
1998年第2期3-5,共3页
Journal of Guangxi University For Nationalities(Natural Science Edition)
基金
江西省自然科学基金
关键词
对称拓扑分子格
半开元
S-闭性
极不连通
序同态
仿S-闭性
一般拓扑学
Symmetric topological molecular lattices (strong)Semiopen element (para )S Cosedness Extremally disconnectedness Order homomorphism
