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A countably compact topological group which is not absolutely countably compact. (English) Zbl 0808.54025
We give a simple example to distinguish ‘countably compact’ and ‘absolutely countably compact’ in the class of topological groups. This group is a dense subgroup of $$D^{\omega_ 1}$$.

##### MSC:
 54H11 Topological groups (topological aspects) 54D30 Compactness
##### Keywords:
absolutely countably compact space