English

Duality and canonical extensions for stably compact spaces

General Topology 2012-06-28 v2 Logic in Computer Science Category Theory Logic

Abstract

We construct a canonical extension for strong proximity lattices in order to give an algebraic, point-free description of a finitary duality for stably compact spaces. In this setting not only morphisms, but also objects may have distinct pi- and sigma-extensions.

Keywords

Cite

@article{arxiv.1009.3410,
  title  = {Duality and canonical extensions for stably compact spaces},
  author = {Sam van Gool},
  journal= {arXiv preprint arXiv:1009.3410},
  year   = {2012}
}

Comments

29 pages, 1 figure

R2 v1 2026-06-21T16:15:22.776Z