Question

Let A ⊆ R uncountable. Prove that A′ ≠ ∅.

Let A ⊆ R uncountable. Prove that A′ ≠ ∅.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Prove whether or not the intersection and union of two uncountable sets must be uncountable
Prove whether or not the intersection and union of two uncountable sets must be uncountable
Prove by contradiction that "The Cantor Set is Uncountable"
Prove by contradiction that "The Cantor Set is Uncountable"
Let R be a relation on A. Suppose that dom(R) = A and R^(-1)∘R⊆R. Prove that...
Let R be a relation on A. Suppose that dom(R) = A and R^(-1)∘R⊆R. Prove that R is reflexive on A.
Let R be an integral domain. Prove that if R is a field to begin with,...
Let R be an integral domain. Prove that if R is a field to begin with, then the field of quotients Q is isomorphic to R
Let R be an integral domain. Prove that R[x] is an integral domain.
Let R be an integral domain. Prove that R[x] is an integral domain.
Let R be a ring, and set I:={(r,0)|r∈R}. Prove that I is an ideal of R×R,...
Let R be a ring, and set I:={(r,0)|r∈R}. Prove that I is an ideal of R×R, and that (R×R)/I is isomorphism to R.
let F : R to R be a continuous function a) prove that the set {x...
let F : R to R be a continuous function a) prove that the set {x in R:, f(x)>4} is open b) prove the set {f(x), 1<x<=5} is connected c) give an example of a function F that {x in r, f(x)>4} is disconnected
Let I be an ideal of the ring R. Prove that the reduction map R[x] →...
Let I be an ideal of the ring R. Prove that the reduction map R[x] → (R/I)[x] is a ring homomorphism.
Let H be a reflexive relation on A. Prove that all relation R on A. It...
Let H be a reflexive relation on A. Prove that all relation R on A. It is true that R ⊆ H ◦ R and R ⊆ R ◦ H.
Let f : R → R be a bounded differentiable function. Prove that for all ε...
Let f : R → R be a bounded differentiable function. Prove that for all ε > 0 there exists c ∈ R such that |f′(c)| < ε.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT