Find and proof an open cover of $(0, 1)$ that has no finite subcover.
I need to find an example and also proof the example.
Thank you.
Find and proof an open cover of $(0, 1)$ that has no finite subcover.
I need to find an example and also proof the example.
Thank you.
$(0,1)=\cup_{n=1}^{\infty}(\frac{1}{n},1-\frac{1}{n})$ is an open cover but has no finite subcover