摘要
研究推理闭包空间范畴RCS、无底闭包空间范畴NCS以及代数闭包空间范畴ACS的性质。证明了RCS和NCS有乘积和余等值子但没有余积和等值子,ACS是一个topological construct,RCS是NCS的余反射满子范畴,并且ACS是CS(闭包空间范畴)的余反射满子范畴。
Properties of the category RCS of reasoning closure spaces, the category NCS of bottomless closure spaces and the category ACS of algebraic closure spaces are studied. It is proved that the categories RCS and NCS have products and coequalizers, but have no coproduct and equalizer, ACS is a topological construct, RCS is a coreflective full subcategory of NCS, and ACS is a coreflective full subcategory of CS.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2010年第10期73-77,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10871121)
