in topological KC-space provided ,every compact subset is closed.
a topological space ( X,τ ) is called minimal KC - space , provided ( X,τ ) is KC - space and there is no topology σ ⊂ τ such that ( X, σ ) is KC - space.
X = βω means the Stone-Čech compactification of natural number.I know X = βω is minimal KC - space but:
why there is no non - trivial convergent sequence in X X = βω ?