Metamathematics of Ulm theory

Abstract

The classical Ulm theory provides a complete set of invariants for countable abelian p-groups, and hence also for countable torsion abelian groups. These invariants involve countable ordinals. One can read off many simple structural properties of such groups directly from the Ulm theory. We carry out a reverse mathematics analysis of several such properties. In many cases, we reverse to ATR0, thereby demonstrating a kind of necessary use of Ulm theory.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 76,264

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

  • Only published works are available at libraries.

Similar books and articles

On automorphism groups of countable structures.Su Gao - 1998 - Journal of Symbolic Logic 63 (3):891-896.
Chisholm's fourth axiom.Melvin Ulm - 1975 - Philosophical Studies 27 (1):57 - 61.
Order types of ordinals in models of set theory.John E. Hutchinson - 1976 - Journal of Symbolic Logic 41 (2):489-502.
Conceptual frameworks and realism.David Holt & Melvin Ulm - 1982 - Metaphilosophy 13 (1):31–45.
Some model theory of Abelian groups.Paul C. Eklof - 1972 - Journal of Symbolic Logic 37 (2):335-342.
The model theory of finitely generated finite-by-Abelian groups.Francis Oger - 1984 - Journal of Symbolic Logic 49 (4):1115-1124.

Analytics

Added to PP
2009-01-28

Downloads
179 (#72,103)

6 months
1 (#449,844)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references