Sahil Asked a Question April 12, 2020 10:56 pm
30 pts - CSIR NET
- Mathematical Sciences
This statement is wrong.
Here's a counter - example.
The union of countable family of open intervals (- n , n) is R which is uncountable. By Lindelof theorem, an arbitrary union of open sets can be reduced to a countable union. Therefore, if a union of a countable family of open intervals is uncountable, then a union of an uncountable super-family of open intervals can be uncountable. QED
can somebody throw light on the above paragraph.....
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