The assembly of a frame
نویسنده
چکیده
In [11] we met the notions of a frame and a frame morphism. These form the objects and arrows of the category Frm . We saw that the universal algebra of a frame A is best done using certain operators on A, the nuclei on A. The collection NA of all these, the assembly of A, is partially ordered by the pointwise comparison. In fact, NA is a complete lattice since it is closed under pointwise infima. In this document we begin to look at the structure of this lattice NA, and some of the properties of the construction N(·). The two main facts that we learn are as follows.
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