Question

Give an example of a space that is separable, but not 2nd- countable. Prove that the...

Give an example of a space that is separable, but not 2nd- countable. Prove that the space you give is separable and prove it is not 2nd- countable

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove: A discrete metric space X is separable if and only if X is countable.
Prove: A discrete metric space X is separable if and only if X is countable.
TOPOLOGY Prove that a subspace of a first countable space is first countable and that countable...
TOPOLOGY Prove that a subspace of a first countable space is first countable and that countable product (product topology) of first countable spaces is first countable.
Give an example of a topological space X that is Hausdorff, but not regular. Prove that...
Give an example of a topological space X that is Hausdorff, but not regular. Prove that the space X you chose is Hausdorff. Prove that the space X you chose is not regular.
Give an example, different than the Sorgenfrey line, that is first countable but not second countable.  
Give an example, different than the Sorgenfrey line, that is first countable but not second countable.  
Please explain step by step. 3. (a) Assume X is a separable metric space, Y is...
Please explain step by step. 3. (a) Assume X is a separable metric space, Y is any subspace of X. Prove that Y is also separable. (b) Assume X is a compact metric space. Prove that X is separable
Give an example or show that no such example exists! * A countable set of real...
Give an example or show that no such example exists! * A countable set of real numbers that does not have measure zero.
Prove that tue union of countable sets is countable.
Prove that tue union of countable sets is countable.
Use the fact that “countable union of disjoint countable sets is countable" to prove “the set...
Use the fact that “countable union of disjoint countable sets is countable" to prove “the set of all polynomials with rational coefficients must be countable.”
Prove the union of a finite collection of countable sets is countable.
Prove the union of a finite collection of countable sets is countable.
Prove the union of two infinite countable sets is countable.
Prove the union of two infinite countable sets is countable.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT