Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. recall the following definition: for x a topologic

Recall the following definition: For X a topological space, and for A ? X, we define...

60.1K

Verified Solution

Question

Advance Math

Recall the following definition: For X a topological space, andfor A ? X, we define the closure of A as cl(A) = ?{B ? X : B isclosed in X and A ? B}. Let x ? X. Prove that x ? cl(A) if and onlyif every neighborhood of x contains a point from A. You may not useany definitions of cl(A) other than the one given.

Answer & Explanation Solved by verified expert
3.8 Ratings (715 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

Calculus
1.2K views

Consider the following piecewise defined function ifx 4 if 4 x 4 2 1 4...

Algebra
1.2K views

9 Convert the following equation to its alternate form standard to slope intercept or vice...

Algebra
1.2K views

You create a post on a social media site and tag five friends In the...

Accounting
1.2K views

Effect of Financing on Eamings per Share Henriksen CO, which produces...

Accounting
1.2K views

Gunter Builders builds 1,500-square-foot starter tract homes in the fast-growing suburbs of Denver....

Accounting
1.2K views

can you please solve that for me. its urgent!!! 7:17 1 now 34,400 3,600...

Accounting
1.2K views

Assume you have a Taxi that has a 10 years life. You were asked to...

Accounting
1.2K views

Write a literature review on the topic "Online Fraud" in relation to information systems

Accounting
1.2K views

1. land he inherited from his deceased aunt and 2. a personal vacation taken last...

Accounting
1.2K views

Which of the following statements BEST DESCRIBES utilitarianism? A. Utilitarianism is a deontological theory...

Accounting
1.2K views

The Cecil-Booker Vending Company changed its method of valuing inventory from the average cost method...

Finance
1.2K views

composition of gross estate base on Philippines citizenship and residency 2.2...