Archimedean frames, revisited

@inproceedings{Martinez2008ArchimedeanFR,
  title={Archimedean frames, revisited},
  author={Jorge Armando Martinez},
  year={2008}
}
This paper extends the notion of an archimedean frame to frames which are not necessarily algebraic. The new notion is called joinfitness and is Choice-free. 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 infinitesimal element arises naturally… CONTINUE READING

Topics from this paper.

Citations

Publications citing this paper.

Similar Papers

Loading similar papers…