English

Algebraic Frames in Priestley duality

General Topology 2025-08-05 v2

Abstract

We characterize Priestley spaces of algebraic, arithmetic, coherent, and Stone frames. As a corollary, we derive the well-known dual equivalences in pointfree topology involving various categories of algebraic frames.

Keywords

Cite

@article{arxiv.2306.06745,
  title  = {Algebraic Frames in Priestley duality},
  author = {G. Bezhanishvili and S. Melzer},
  journal= {arXiv preprint arXiv:2306.06745},
  year   = {2025}
}

Comments

23 pages, 6 figures, 6 tables

R2 v1 2026-06-28T11:02:23.397Z