拓扑空间范畴、拓扑FUZZ范畴与拓扑分子格范畴间的反射与余反射

Reflectivity and Coreflectivity between the Category of Topological Spaces, the Category of Topological Fuzzes and the Category of Topological Molecular Lattices

从整体角度出发，证明了拓扑空间范畴Ｔｏｐ分别是拓扑Ｆｕｚｚ范畴ＴｏｐＦｕｚ与拓扑分子格范畴ＴＭＬ的反射与余反射满子范畴，ＴｏｐＦｕｚ是ＴＭＬ的反射与余反射（非满）子范畴．

It is shown that the category Top of topological spaces is a reflective and coreflective full subcategory of the category TML of topological molecular lattices and the category TopFuzz of topological Fuzzes respectively; it is also shown that TopFuzz is a reflective and coreflective (nonfull) subcategory of TML, the integral relations between Top, TopFuzz and TML are first exploited.