Undecidable lt theories of topological Abelian groups

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Journal of Symbolic Logic 46 (4):761-772 (1981)
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Abstract

We prove the hereditary undecidability of the L t theories of: (1) torsion-free Hausdorff topological abelian groups; (2) locally pure Hausdorff topological abelian groups.

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10.2307/2273225

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Citations of this work

Locally pure topological abelian groups: elementary invariants.G. Cherlin & P. H. Schmitt - 1983 - Annals of Pure and Applied Logic 24 (1):49-85.

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References found in this work

Sentences Preserved between Equivalent Topological Bases.T. A. McKee - 1976 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 22 (1):79-84.
Sentences Preserved between Equivalent Topological Bases.T. A. McKee - 1976 - Mathematical Logic Quarterly 22 (1):79-84.
The elementary theory of abelian groups.Paul C. Eklof - 1972 - Annals of Mathematical Logic 4 (2):115.
Infinitary logic and topological homeomorphisms.T. A. McKee - 1975 - Mathematical Logic Quarterly 21 (1):405-408.
Model theory of topological structures.Steven Garavaglia - 1978 - Annals of Mathematical Logic 14 (1):13-37.

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