profile-img
Sahil Asked a Question
April 12, 2020 10:56 pmpts 30 pts
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.....
  • 1 Answer(s)
  • 0 Likes
  • 2 Comments
  • Shares
  • Ujjawal vishal thankyou
    i think statement is true... and your example is not the collection of disjoint sets
    Likes(0) Reply(0)
  • Sahil
    the statement was:arbitrary collection of disjoint open intervals is countable.....
    Likes(0) Reply(0)