陕西师范大学学报（自然科学版）2013，Vol.41Issue(2)：9-13,23,6.
Quantale系统的空间化和Q-Locale化
The spatialization and Q-localification of a Quantale system
摘要
Abstract
By introducing the concept of Quantale system, the continuous mapping and homeomorphism of Quantale systems are defined. It is proved that the inverse of a homeomorphism mapping is also a homeomorphism mapping. Then the spatialization and the Q-localification of a Quantale system are researched and the adjoint between the category of Quantale system and the category of quantum spaces is established. It is proved the Q-localification of a Quantale system and proved about Quantales is a Quantale system and the Q-localification of a Quantale system is Q-Locale. In the end, the adjoint between the category of Quantale systems and the category of Q-Loc is established.关键词
拓扑系统/Quantale系统/Q-Locale/连续映射/范畴Key words
topological system/ Quantale system/ Q-Locale/ continuous mapping/ category分类
数理科学引用本文复制引用
马娜娜,赵彬..Quantale系统的空间化和Q-Locale化[J].陕西师范大学学报（自然科学版）,2013,41(2):9-13,23,6.基金项目
国家自然科学基金资助项目(11171196). （11171196）
