Topologies, Ranks, and Closures for Families of Theories. II

Topologies, Ranks, and Closures for Families of Theories. II

We describe topological properties, ranks, and closures as well as their dynamics for families of theories. Closures for families of theories are introduced based on sentences of the given theories. We look at properties of these closures and establish their relationship with standard closures. Valu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Algebra and logic 2021-03, Vol.60 (1), p.38-52
Hauptverfasser: Markhabatov, N. D., Sudoplatov, S. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Electric generators
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Topology
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We describe topological properties, ranks, and closures as well as their dynamics for families of theories. Closures for families of theories are introduced based on sentences of the given theories. We look at properties of these closures and establish their relationship with standard closures. Values of e 1 -spectra, as well as conditions for the existence of least generating sets, are characterized. Closures for linearly ordered families of theories are examined.
ISSN:0002-5232
1573-8302
DOI:10.1007/s10469-021-09626-y