At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions.

See more answers at brainly.com

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this and **thousands** of other questions

I can solve that question using the Theorem of Category of Baire

yes please use that theorem

ok!

ok

ok please continue , i am here

the subsequent set:
\[\Large \overline {{ \cap _n}{V_n}} = X\]

since by the Baire's theorem the set:
\[\Large {{ \cap _n}{V_n}}\] is dense in X

is that all?

no, please let's suppose, by absurdum, that On is empty

ok

so, also the intersection is empty:
\[\Large { \cap _n}{V_n} = \emptyset \]

because the intersection of empty sets is also empty

yap

that's all!

thanks . want to copy it and study but can i ask ine last question for now?

ok!

please I have to go out now, I will come back between 2 hours

ok

is that all?

yes! we are done

waw, thanks .