L-Lowen空间的一些性质

Some properties of L-Lowen spaces

定义了L-Lowen空间的紧性和各种分离性,讨论了L-Lowen空间的一些常用性质,如遗传性、可乘性、被映射保持的性质、坐标投射的性质、分离性、紧性等．给出了L-Lowen空间的一种紧化并讨论了L-Lowen空间的Stone-Cech紧化的性质．引入了L-拓扑空间的外Lowen化并证明了L-区间的外 Lowen化空间的紧性．

Compactness and all kinds of separation axioms are defined and some common properties, such as heredity, productivity, property preserved by mappings, properties of projections, separations and compactness, etc, are discussed for L-Lowen spaces. A kind of compactification of L-Lowen spaces is given and the properties of Stone-Cech compactification of L-Lowen spaces are discussed. Exterior Lowenfication of L-topology spaces is introduced and compactness of exterior Lowenfication of L-intervals is proved.