Sierpiński Space is Irreducible

From ProofWiki
Jump to navigation Jump to search

Theorem

Let $T = \struct {\set {0, 1}, \tau_0}$ be a Sierpiński space.

Then $T$ is irreducible.


Proof

A Sierpiński space is a particular point space by definition.

A Particular Point Space is Irreducible.

$\blacksquare$


Sources