The Hofmann-Mislove Theorem for general topological structures

2005/01/01 by Martin Maria Kovár, Kovar, Martin
Mathematics · #(quasi-) sober space #Advanced Topics in Algebra #Compact saturated set #Functional Equations Stability Results #Rings, Modules, and Algebras #Scott open filter

paper · doi:10.4230/dagsemproc.04351.21

openalex publication_date 2005/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we prove a modification of Hofmann-Mislove theorem for a topological structure similar to the minusspaces of de Groot, in which the empty set "need not be open". This will extend, in a slightly relaxed form, the validity of the classical Hofmann-Mislove theorem also to some of those spaces, whose underlying topology need not be (quasi-) sober.

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