English

Wallman Duality for Semilattice Subbases

General Topology 2020-09-24 v2 Category Theory Rings and Algebras

Abstract

We extend Wallman's classic duality from lattice bases to semilattice subbases and from compact to locally closed compact spaces. Moreover, we make this duality functorial via appropriate relational morphisms.

Keywords

Cite

@article{arxiv.2002.05943,
  title  = {Wallman Duality for Semilattice Subbases},
  author = {Tristan Bice and Wiesław Kubiś},
  journal= {arXiv preprint arXiv:2002.05943},
  year   = {2020}
}
R2 v1 2026-06-23T13:41:45.428Z