Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. provide an example 1) a nested sequence of closed,

Provide an example 1) A nested sequence of closed, nonempty sets whose intersection is empty. 2) A set...

90.2K

Verified Solution

Question

Advance Math

Provide an example

1) A nested sequence of closed, nonempty sets whose intersectionis empty.
2) A set A that is not compact and an open set B such that A ∪ B iscompact.

3) A set A that is not open, but removing one point from Aproduces an open set.

4) A set with infinitely many boundary points.

5) A closed set with exactly one boundary point

Answer & Explanation Solved by verified expert
4.3 Ratings (548 Votes)
1 You should take Fnn then the intersection is empty This is correct Every finite intersection has at least one point but the infinite intersection is empty As n goes from 1 to    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Physics
1.2K views

A sinusoidal electromagnetic wave propagates in a vacuum in the positive x-direction. The B⃗  field oscillates in...

Mechanical Engineering
1.2K views

Question 1c (0.5 pts): In a study published in 2016, a team of researchers found that...

Physics
1.2K views

A 5 m long cylindrical steel wire with radius 2 x 10 3 m is...

Basic Math
1.2K views

16 What percent of the total population is found between the mean and the standardized...

Basic Math
1.2K views

You are going to make and sell bread. A loaf of Irish soda bread ismade...

Algebra
1.2K views

The reduced row Echelon form of the matrix 1 2 1 2 3 0 0...

Algebra
1.2K views

9x 25

Accounting
1.2K views

Required information Problem 6-45 (LO 6-2) (Static) [The following information applies to the questions displayed...

Accounting
1.2K views

Tony Mercato operates a small construction business specializing in home renovations and additions. In the...

Accounting
1.2K views

Knorr & Associates paid total taxes of $72,000 in the first year of their consulting...

Accounting
1.2K views

BusinessCourse Inventory Turnover The following financial data is from Brenner Instruments' financial statements (thousands of...

Finance
1.2K views

Chemical engineers at a Coleman Industries plant in the Midwest have determined that a small...