Title of article :
A countably compact free Abelian group of size continuum that admits a non-trivial convergent sequence
Author/Authors :
Boero، نويسنده , , A.C. and Garcia-Ferreira، نويسنده , , S. and Tomita، نويسنده , , A.H.، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2012
Abstract :
We show that it is consistent with ZFC that the free Abelian group of cardinality c admits a topological group topology that makes it countably compact with a non-trivial convergent sequence.
Keywords :
Countably compact group , Free Abelian group , Non-trivial convergent sequence
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications