Categorical properties of three kinds of special closure spaces
LI Sheng-gang · Journal of Shandong University · 2010
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.