Title of article :
The smallest ideal of βS is not closed
Author/Authors :
Zelenyuk، نويسنده , , Yevhen Zelenyuk، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2009
Abstract :
Let S be an infinite discrete semigroup which can be embedded algebraically into a compact topological group and let βS be the Stone–Čech compactification of S. We show that the smallest ideal of βS is not closed.
Keywords :
Stone–?ech compactification , Ultrafilter , Smallest ideal , Idempotent , Compact group
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications
