Thom-Boardman singularities and monoidal transforms
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This paper extends the notion of an archimedean frame to frames which are not necessarily algebraic. The new notion is called and is . Assuming the Axiom of Choice and for compact normal algebraic frames, the new and the old coincide. There is a subfunctor from the category of compact normal frames with skeletal maps with joinfit values, which is almost a coreflection. Conditions making it so are briefly discussed. The concept of an element arises naturally, and the join of suitably...