Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let x be the set of all subsets of r whose complem

Let X be the set of all subsets of R whose complement is a finite set...

50.1K

Verified Solution

Question

Advance Math

Let X be the set of all subsets of R whose complement is afinite set in R:

X = {O ? R | R ? O is finite} ? {?}

a) Show that T is a topological structure no R.

b) Prove that (R, X) is connected.

c) Prove that (R, X) is compact.

Answer & Explanation Solved by verified expert
4.1 Ratings (800 Votes)
    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

Accounting
1.2K views

Sue, Liean and Ray have been good friends since their collegeyears. They were partners...

Finance
1.2K views

Benefits of diversification. Sally Rogers has decided to invest her wealth equally across the following three assets.?? a.??What are...

Physics
1.2K views

In Fig. 8.3, a bullet of mass 0.01 kg moving horizontally strikes a block of wood...

Physics
1.2K views

A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the...

Biology
1.2K views

Which of the following proteins in a plant cell transports substances or conducts signals across...

Physics
1.2K views

The flux entering and leaving a closed surface are 5 x 105 and 4 x...

Basic Math
1.2K views

Jasmine has3cup of flour in a mixing bowl.4After adding more flour to the mixing bowl,...

Basic Math
1.2K views

The probabilities of events E, F, and E?F are given below. Find (a) P(EIF), (b)...

Algebra
1.2K views

5 Factor completely 49x 4y

Accounting
1.2K views

Please help fill out what's in yellow. no matter what I balance something is wrong...

Accounting
1.2K views

Bramble Company expects to have a cash balance of $43,200 on January 1,2027. Relevant monthly...

Accounting
1.2K views

Please provide two paragraphs on your thoughts on globilization. Please provide references where you got...