There exists a well-ordered set $A$ having a largest element $\Omega$ such that the section $S_\Omega$ of $A$ by $\Omega$ is uncountable but every other section is countable.
Can anyone make me understand this theorem?
I can not understand what Mukres has tried to say in his Topology's Book.. I can not visualize what Mukresh has said in the proof. I can not understand why we always get an element $\Omega$ such that the section less than $\Omega$ is countable. What ensures the availability of $\Omega$ in a uncountable well ordered set?
Can anyone make me understand with proper example?
Thank you in Advance.