Subspace of r containing n, Mathematics

Assignment Help:

Give an example of each of the following given below . You do not require to give any justi cation.

(a) A nonempty, bounded subset of Q with no in mum in Q.

(b) A subspace of R containing N in which {1} is open but (2) is not.

(c) A nonempty subspace of Q which is complete in the metric space sense.

(d) An uncountable open subset of R\Q which is not all of R\Q.

(e) A bounded sequence in {x € R\Q }  - 1 < x < 1} which is not Cauchy in R.


Related Discussions:- Subspace of r containing n

Siquence aned series, if 4,a and 16 are in the geometric sequence. Find the...

if 4,a and 16 are in the geometric sequence. Find the value

Descrbe about arithmetic and geometric sequences, Descrbe about Arithmetic ...

Descrbe about Arithmetic and Geometric Sequences? When numbers are listed according to a particular pattern, we call the list a sequence. In a sequence, the numbers are separat

Case let, How should Shoppers’ Stop develop its demand forecasts?

How should Shoppers’ Stop develop its demand forecasts?

D, similar triangles diagram

similar triangles diagram

Introducing counting, INTRODUCING COUNTING : From what you studied previou...

INTRODUCING COUNTING : From what you studied previous study, you know what it means to count. You would also agree that rote learning of number names does not always mean that the

Differentials, Differentials : In this section we will introduce a nota...

Differentials : In this section we will introduce a notation. We will also look at an application of this new notation. Given a function y = f ( x ) we call dy & dx differen

Operation research, Advantages and disadvantages of operation researchs

Advantages and disadvantages of operation researchs

What is the value of tan in terms of sin, What is the value of tan? in term...

What is the value of tan? in terms of sin?. Ans:    Tan ? = S i n ?/ C os ? Tan ? = S i n ? / √1 - S i n   2?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd