English

A Unified Approach to Gelfand and de Vries Dualities

Rings and Algebras 2022-03-28 v1

Abstract

We develop a unified approach to Gelfand and de Vries dualities for compact Hausdorff spaces, which is based on appropriate modifications of the classic results of Dieudonn\'{e} (analysis), Dilworth (lattice theory), and Kat{\v{e}}tov-Tong (topology).

Keywords

Cite

@article{arxiv.2203.13795,
  title  = {A Unified Approach to Gelfand and de Vries Dualities},
  author = {Guram Bezhanishvili and Luca Carai and Patrick Morandi and Bruce Olberding},
  journal= {arXiv preprint arXiv:2203.13795},
  year   = {2022}
}