Undecidable Lt theories of topological abelian groups

1981 ◽  
Vol 46 (4) ◽  
pp. 761-772 ◽  
Author(s):  
Gregory L. Cherlin ◽  
Peter H. Schmitt

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

Author(s):  
Fysal Hasani ◽  
Fatemeh Karimi ◽  
Alireza Najafizadeh ◽  
Yousef Sadeghi

AbstractThe square subgroup of an abelian group


2006 ◽  
Vol 06 (02) ◽  
pp. 233-251 ◽  
Author(s):  
GREG HJORTH ◽  
SIMON THOMAS

We prove that if p ≠ q are distinct primes, then the classification problems for p-local and q-local torsion-free abelian groups of rank two are incomparable with respect to Borel reducibility.


2007 ◽  
Vol 35 (3) ◽  
pp. 1055-1072 ◽  
Author(s):  
Ekaterina Blagoveshchenskaya ◽  
Lutz Strüngmann

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