Ordinal decompositions and extreme selections
Abstract
The paper contains two natural constructions of extreme hyperspace selections generated by special ordinal decompositions of the underlying space. These constructions are very efficient not only in simplifying arguments but also in clarifying the ideas behind several known results. They are also crucial in obtaining some new results for such extreme selections. This is achieved by using special sets called clopen modulo a point. Such sets are naturally generated by a relation between closed sets and points of the space with respect to a given hyperspace selection.
Fields of Study & Subjects
Advanced Algebra and Logic
Advanced Topology and Set Theory
Computability
Logic
AI Algorithms
Publication details
- Journal / source
- Topology and its Applications
- Publisher
- Elsevier BV
- Volume
- 391
- Pages
- 109917–109917
- Publication date
- 10 July 2026
- Language
- EN