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Martin Sleziak
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Andrej Bauer
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the Non-trivial convergent sequence in Stone-Čech compactification of $\mathbb{N}$

 

X = βω meansWhy are there only trivial convergent sequences in the Stone-Čech compactification of natural number.

why there is no non - trivial convergent sequence in X = βω $\mathbb{N}$?

the Stone-Čech compactification

 

X = βω means the Stone-Čech compactification of natural number.

why there is no non - trivial convergent sequence in X = βω ?

Non-trivial convergent sequence in Stone-Čech compactification of $\mathbb{N}$

Why are there only trivial convergent sequences in the Stone-Čech compactification of $\mathbb{N}$?

the Stone-Čech compactification
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maryam
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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 ?

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 means the Stone-Čech compactification of natural number.

why there is no non - trivial convergent sequence in X = βω ?

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maryam
  • 147
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