Find an example (e.g. in (mathbb{R}) ) showing that (bigcap_{n in mathbb{N}} U_{n}) need not be open

Question:

Find an example (e.g. in $\mathbb{R}$ ) showing that $\bigcap_{n \in \mathbb{N}} U_{n}$ need not be open even if all $U_{n}$ are open sets.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Measures Integrals And Martingales

ISBN: 9781316620243

2nd Edition

Authors: René L. Schilling

See More Books

Question Posted: Jan 25, 2024 01:00 AM

See More Questions

Emily Jackson (Social Security number 765-12-4326) and James Stewart (Social Security number 466-74-9932) are partners in a partnership that owns and operates a barber shop. The partnership's first...
The site http://virtualpiano.net features an online player piano. If you click on the Key Assist menu just above the piano keyboard, and then Keyboard Keys, you will see that each key is labelled...
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
In Problems 1158, perform the indicated operation, and write each expression in the standard form a + bi. 1-9 1 + i
Why must the fission process release neutrons if it is to be useful?
Describe the shorthand representation of the structure of a relational database. Illustrate this technique by representing the database for Colonial Adventure Tours shown in Figures 1-15 through 1-19...
In the spring of 1999, Source Associates, Inc. (Source), and Conrad A. Mamajek, Inc. (CAM), entered into a joint venture to act as a middleman for the sale of polymers manufactured by Mitsui...
Cost of Land vs. BuildingEthics Tones Company purchased a warehouse in a downtown district where land values are rapidly increasing. Gerald Carter, controller, and Wilma Ankara, financial vice...
In general, should a country's policymakers be concerned if the country has trade imbalances with other countries? If your answer ispolicymakers "no", are there situations in which policy makers...
Prove any one of the assertions made in Remark 3.9 . Data from remark 3.9 Let D be a dense subset of R, e.g. D=Q or D=R. The Borel sets of the real line R are also generated by any of the following...
Let $A_{1}, A_{2}, \ldots, A_{N}$ be non-empty subsets of $X$. (i) If the $A_{n}$ are disjoint and $\biguplus A_{n}=X$, then $\# \sigma\left(A_{1}, A_{2}, \ldots, A_{N}ight)=2^{N}$. Remark....
List four carbon and alloy casting steels used in general applications.
Pria's friends love to gossip, and they wish Pria would gossip more than she currently does. According to operant conditioning, which scenario is likely to increase Pria's gossiping?
Select all that apply The yield curve for interest rates can have what type of slope? Multiple select question. Always must be upward sloping Downward Upward Flat
In case of a hypothetical online store company; write to paragraphs for future enhancements and recommendations for a better performance of the store, include the following characteristics: 1....
You wish to buy a home in the stylish Rockhill Gardens section of Waldo. You will need to borrow $289,000 from the bank at 4% interest for 30 years. What will you payment to the bank be? (This amount...
A ring is slipping on a horizontal surface. The center of the ring is moving to the right at 2 m/s. The ring is also rotating counterclockwise at 3 rad/s. What is the angular momentum of the ring...
What might Blackmon have done to secure payment for Iversons use of The Answer as a nickname before that use became valuable?
An investor sells a European call on a share for $4. The stock price is $47 and the strike price is $50. Under what circumstances does the investor make a profit? Under what circumstances will the...
Helen Troy, owner of three Sound Haus stereo equipment stores, is deciding what message channel (advertising medium) to use to promote her newest store. Her current promotion blend includes...
What strategy decisions are needed in the personal selling area? Why should the marketing manager make these strategy decisions?
What kind of salesperson (or what blend of the basic sales tasks) is required to sell the following products? If there are several selling jobs in the channel for each product, indicate the kinds of...
Locate 2 compliance program documents from comparable health care organizations Create a matrix that compares how both organizations execute the following compliance components: How internal...
1. Calculate how long it would take your current personal or family savings to double at the current interest rate you are being offered by your bank. What will it take for you or your family to...
1. How would stabilizing the human population affect biological diversity? 2. What are the goals of restoration ecology? Are there any disadvantages associated with restoring disturbed areas? 3. How...

Find an example (e.g. in (mathbb{R}) ) showing that (bigcap_{n in mathbb{N}} U_{n}) need not be open

Question:

Step by Step Answer:

Let X R and set Uk 0 ...View the full answer

Measures Integrals And Martingales

Students also viewed these Business questions