Constructive metrisability in point-free topology

@article{Curi2003ConstructiveMI,
  title={Constructive metrisability in point-free topology},
  author={Giovanni Curi},
  journal={Theor. Comput. Sci.},
  year={2003},
  volume={305},
  pages={85-109}
}
The notion of elementary diameter is introduced to provide, in the context of Locale Theory, a constructive notion of metrisability. Besides foundational aspects, elementary diameters allow to express metrisability in locales more simply with respect to the existing (non-constructive) approach based on diameters. By relying on the presentation of Locale Theory provided by formal topology, the notions to be presented may be conceived as phrased within (Martin-L, of) Type Theory. A type-theoretic… CONTINUE READING